Search a number
-
+
113251632 = 24313223607
BaseRepresentation
bin1101100000000…
…01010100110000
321220002210000220
412300001110300
5212443023012
615123213040
72543423454
oct660012460
9256083026
10113251632
1158a2269a
1231b17180
131a603400
1411080664
159e2108c
hex6c01530

113251632 has 120 divisors (see below), whose sum is σ = 331121664. Its totient is φ = 33276672.

The previous prime is 113251631. The next prime is 113251639. The reversal of 113251632 is 236152311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113251631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186273 + ... + 186879.

Almost surely, 2113251632 is an apocalyptic number.

113251632 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 113251632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165560832).

113251632 is an abundant number, since it is smaller than the sum of its proper divisors (217870032).

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

113251632 is a wasteful number, since it uses less digits than its factorization.

113251632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 648 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 113251632 is about 10641.9750046690. The cubic root of 113251632 is about 483.8174071617.

The spelling of 113251632 in words is "one hundred thirteen million, two hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 169 184 208 276 299 312 338 368 507 552 598 607 624 676 897 1014 1104 1196 1214 1352 1794 1821 2028 2392 2428 2704 3588 3642 3887 4056 4784 4856 7176 7284 7774 7891 8112 9712 11661 13961 14352 14568 15548 15782 23322 23673 27922 29136 31096 31564 41883 46644 47346 55844 62192 63128 83766 93288 94692 102583 111688 126256 167532 181493 186576 189384 205166 223376 307749 335064 362986 378768 410332 544479 615498 670128 725972 820664 1088958 1230996 1451944 1641328 2177916 2359409 2461992 2903888 4355832 4718818 4923984 7078227 8711664 9437636 14156454 18875272 28312908 37750544 56625816 113251632