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116495232 = 2737192281
BaseRepresentation
bin1101111000110…
…01001110000000
322010012120102020
412330121032000
5214310321412
615320521440
72613123150
oct674311600
9263176366
10116495232
115a838657
1233020280
131b19a8b9
1411686760
15a36218c
hex6f19380

116495232 has 128 divisors (see below), whose sum is σ = 372422400. Its totient is φ = 31518720.

The previous prime is 116495209. The next prime is 116495261. The reversal of 116495232 is 232594611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1164952322 = 27142278157467648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116495193 and 116495202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49932 + ... + 52212.

It is an arithmetic number, because the mean of its divisors is an integer number (2909550).

Almost surely, 2116495232 is an apocalyptic number.

116495232 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 116495232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186211200).

116495232 is an abundant number, since it is smaller than the sum of its proper divisors (255927168).

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

116495232 is a wasteful number, since it uses less digits than its factorization.

116495232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2324 (or 2312 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 116495232 is about 10793.2956968666. The cubic root of 116495232 is about 488.3929469663.

The spelling of 116495232 in words is "one hundred sixteen million, four hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2281 2432 2688 3192 3648 4256 4562 6384 6843 7296 8512 9124 12768 13686 15967 17024 18248 25536 27372 31934 36496 43339 47901 51072 54744 63868 72992 86678 95802 109488 127736 130017 145984 173356 191604 218976 255472 260034 291968 303373 346712 383208 437952 510944 520068 606746 693424 766416 875904 910119 1021888 1040136 1213492 1386848 1532832 1820238 2043776 2080272 2426984 2773696 3065664 3640476 4160544 4853968 5547392 6131328 7280952 8321088 9707936 14561904 16642176 19415872 29123808 38831744 58247616 116495232