Search a number
-
+
119822940 = 2232543113137
BaseRepresentation
bin1110010010001…
…01101001011100
322100110122011200
413021011221130
5221133313230
615520115500
72653323006
oct711055134
9270418150
10119822940
1161700826
1234165b90
131ba94463
1411cb1376
15a7bd160
hex7245a5c

119822940 has 144 divisors (see below), whose sum is σ = 377945568. Its totient is φ = 30707712.

The previous prime is 119822933. The next prime is 119822947. The reversal of 119822940 is 49228911.

119822940 is a nontrivial binomial coefficient, being equal to C(15481, 2).

It is an interprime number because it is at equal distance from previous prime (119822933) and next prime (119822947).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 119822895 and 119822904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119822947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874552 + ... + 874688.

It is an arithmetic number, because the mean of its divisors is an integer number (2624622).

Almost surely, 2119822940 is an apocalyptic number.

119822940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

119822940 is the 15480-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119822940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188972784).

119822940 is an abundant number, since it is smaller than the sum of its proper divisors (258122628).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

119822940 is a wasteful number, since it uses less digits than its factorization.

119822940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 119822940 is about 10946.3665204487. The cubic root of 119822940 is about 492.9997023918. Note that the first 3 decimals are identical.

The spelling of 119822940 in words is "one hundred nineteen million, eight hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 113 129 137 172 180 215 226 258 274 339 387 411 430 452 516 548 565 645 678 685 774 822 860 1017 1130 1233 1290 1356 1370 1548 1644 1695 1935 2034 2055 2260 2466 2580 2740 3390 3870 4068 4110 4859 4932 5085 5891 6165 6780 7740 8220 9718 10170 11782 12330 14577 15481 17673 19436 20340 23564 24295 24660 29154 29455 30962 35346 43731 46443 48590 53019 58308 58910 61924 70692 72885 77405 87462 88365 92886 97180 106038 117820 139329 145770 154810 174924 176730 185772 212076 218655 232215 265095 278658 291540 309620 353460 437310 464430 530190 557316 665683 696645 874620 928860 1060380 1331366 1393290 1997049 2662732 2786580 3328415 3994098 5991147 6656830 7988196 9985245 11982294 13313660 19970490 23964588 29955735 39940980 59911470 119822940