Search a number
-
+
116332632 = 233313172437
BaseRepresentation
bin1101110111100…
…01100001011000
322002220022101000
412323301201120
5214240121012
615313225000
72611545123
oct673614130
9262808330
10116332632
115a737479
1232b62160
131b1418a0
14116433ba
15a32dddc
hex6ef1858

116332632 has 128 divisors (see below), whose sum is σ = 368625600. Its totient is φ = 33675264.

The previous prime is 116332631. The next prime is 116332651. The reversal of 116332632 is 236233611.

It is a happy number.

116332632 is a `hidden beast` number, since 1 + 1 + 633 + 26 + 3 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116332596 and 116332605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116332631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46518 + ... + 48954.

Almost surely, 2116332632 is an apocalyptic number.

116332632 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 116332632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184312800).

116332632 is an abundant number, since it is smaller than the sum of its proper divisors (252292968).

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

116332632 is a wasteful number, since it uses less digits than its factorization.

116332632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482 (or 2472 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 116332632 is about 10785.7606129563. The cubic root of 116332632 is about 488.1656138596.

It can be divided in two parts, 116332 and 632, that added together give a square (116964 = 3422).

The spelling of 116332632 in words is "one hundred sixteen million, three hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1768 1836 1989 2437 2652 2808 3672 3978 4874 5304 5967 7311 7956 9748 11934 14622 15912 19496 21933 23868 29244 31681 41429 43866 47736 58488 63362 65799 82858 87732 95043 124287 126724 131598 165716 175464 190086 248574 253448 263196 285129 331432 372861 380172 497148 526392 538577 570258 745722 760344 855387 994296 1077154 1118583 1140516 1491444 1615731 1710774 2154308 2237166 2281032 2982888 3231462 3421548 4308616 4474332 4847193 6462924 6843096 8948664 9694386 12925848 14541579 19388772 29083158 38777544 58166316 116332632