Search a number
-
+
113098032 = 2435191531
BaseRepresentation
bin1101011110110…
…11110100110000
321212210222100000
412233123310300
5212423114112
615120030000
72542213605
oct657336460
9255728300
10113098032
1158928253
1231a62300
131a57b518
14110406ac
159de07dc
hex6bdbd30

113098032 has 120 divisors (see below), whose sum is σ = 345741760. Its totient is φ = 35691840.

The previous prime is 113098019. The next prime is 113098067. The reversal of 113098032 is 230890311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113097987 and 113098005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73107 + ... + 74637.

Almost surely, 2113098032 is an apocalyptic number.

113098032 is a gapful number since it is divisible by the number (12) 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 113098032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172870880).

113098032 is an abundant number, since it is smaller than the sum of its proper divisors (232643728).

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

113098032 is a wasteful number, since it uses less digits than its factorization.

113098032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 113098032 is about 10634.7558505120. The cubic root of 113098032 is about 483.5985788923.

The spelling of 113098032 in words is "one hundred thirteen million, ninety-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 243 304 324 342 432 456 486 513 648 684 912 972 1026 1296 1368 1531 1539 1944 2052 2736 3062 3078 3888 4104 4593 4617 6124 6156 8208 9186 9234 12248 12312 13779 18372 18468 24496 24624 27558 29089 36744 36936 41337 55116 58178 73488 73872 82674 87267 110232 116356 124011 165348 174534 220464 232712 248022 261801 330696 349068 372033 465424 496044 523602 661392 698136 744066 785403 992088 1047204 1396272 1488132 1570806 1984176 2094408 2356209 2976264 3141612 4188816 4712418 5952528 6283224 7068627 9424836 12566448 14137254 18849672 28274508 37699344 56549016 113098032