Search a number
-
+
119414988 = 2232711231873
BaseRepresentation
bin1110001111000…
…10000011001100
322022200220120100
413013202003030
5221032234423
615503251100
72650003440
oct707420314
9268626510
10119414988
1161452280
1233ba9a90
131b980874
1411c06820
15a73c343
hex71e20cc

119414988 has 144 divisors (see below), whose sum is σ = 392910336. Its totient is φ = 29652480.

The previous prime is 119414983. The next prime is 119415029. The reversal of 119414988 is 889414911.

119414988 is a `hidden beast` number, since 119 + 41 + 498 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119414983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62820 + ... + 64692.

It is an arithmetic number, because the mean of its divisors is an integer number (2728544).

Almost surely, 2119414988 is an apocalyptic number.

119414988 is a gapful number since it is divisible by the number (18) 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 119414988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196455168).

119414988 is an abundant number, since it is smaller than the sum of its proper divisors (273495348).

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

119414988 is a wasteful number, since it uses less digits than its factorization.

119414988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 119414988 is about 10927.7165043755. The cubic root of 119414988 is about 492.4395734396.

The spelling of 119414988 in words is "one hundred nineteen million, four hundred fourteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 23 28 33 36 42 44 46 63 66 69 77 84 92 99 126 132 138 154 161 198 207 231 252 253 276 308 322 396 414 462 483 506 644 693 759 828 924 966 1012 1386 1449 1518 1771 1873 1932 2277 2772 2898 3036 3542 3746 4554 5313 5619 5796 7084 7492 9108 10626 11238 13111 15939 16857 20603 21252 22476 26222 31878 33714 39333 41206 43079 52444 61809 63756 67428 78666 82412 86158 117999 123618 129237 144221 157332 172316 185427 235998 247236 258474 288442 301553 370854 387711 432663 471996 473869 516948 576884 603106 741708 775422 865326 904659 947738 1206212 1297989 1421607 1550844 1730652 1809318 1895476 2595978 2713977 2843214 3317083 3618636 4264821 5191956 5427954 5686428 6634166 8529642 9951249 10855908 13268332 17059284 19902498 29853747 39804996 59707494 119414988