Search a number
-
+
116120340 = 223257157587
BaseRepresentation
bin1101110101111…
…01101100010100
322002111112011100
412322331230110
5214211322330
615304510100
72610002160
oct672755424
9262445140
10116120340
115a601a26
1232a7b330
131b09907b
14115c9ca0
15a2db060
hex6ebdb14

116120340 has 144 divisors (see below), whose sum is σ = 405804672. Its totient is φ = 26327808.

The previous prime is 116120317. The next prime is 116120357. The reversal of 116120340 is 43021611.

It is a happy number.

116120340 is a `hidden beast` number, since 11 + 612 + 0 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197527 + ... + 198113.

It is an arithmetic number, because the mean of its divisors is an integer number (2818088).

Almost surely, 2116120340 is an apocalyptic number.

116120340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202902336).

116120340 is an abundant number, since it is smaller than the sum of its proper divisors (289684332).

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

116120340 is a wasteful number, since it uses less digits than its factorization.

116120340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116120340 is about 10775.9148103537. The cubic root of 116120340 is about 487.8684866877.

Adding to 116120340 its reverse (43021611), we get a palindrome (159141951).

The spelling of 116120340 in words is "one hundred sixteen million, one hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 157 180 210 252 314 315 420 471 587 628 630 785 942 1099 1174 1260 1413 1570 1761 1884 2198 2348 2355 2826 2935 3140 3297 3522 4109 4396 4710 5283 5495 5652 5870 6594 7044 7065 8218 8805 9420 9891 10566 10990 11740 12327 13188 14130 16436 16485 17610 19782 20545 21132 21980 24654 26415 28260 32970 35220 36981 39564 41090 49308 49455 52830 61635 65940 73962 82180 92159 98910 105660 123270 147924 184318 184905 197820 246540 276477 368636 369810 460795 552954 645113 739620 829431 921590 1105908 1290226 1382385 1658862 1843180 1935339 2580452 2764770 3225565 3317724 3870678 4147155 5529540 5806017 6451130 7741356 8294310 9676695 11612034 12902260 16588620 19353390 23224068 29030085 38706780 58060170 116120340