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113243936 = 25131767239
BaseRepresentation
bin1101011111111…
…11011100100000
321220002101110212
412233333130200
5212442301221
615123113252
72543362151
oct657773440
9256071425
10113243936
1158a17933
1231b12828
131a5cca60
141107b928
159e1db5b
hex6bff720

113243936 has 96 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 48254976.

The previous prime is 113243929. The next prime is 113243941. The reversal of 113243936 is 639342311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 473705 + ... + 473943.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2113243936 is an apocalyptic number.

113243936 is a gapful number since it is divisible by the number (16) 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 113243936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129548160).

113243936 is an abundant number, since it is smaller than the sum of its proper divisors (145852384).

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

113243936 is a wasteful number, since it uses less digits than its factorization.

113243936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 338 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

The square root of 113243936 is about 10641.6134115086. The cubic root of 113243936 is about 483.8064476637.

The spelling of 113243936 in words is "one hundred thirteen million, two hundred forty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 67 68 104 134 136 208 221 239 268 272 416 442 478 536 544 871 884 956 1072 1139 1742 1768 1912 2144 2278 3107 3484 3536 3824 4063 4556 6214 6968 7072 7648 8126 9112 12428 13936 14807 16013 16252 18224 24856 27872 29614 32026 32504 36448 49712 52819 59228 64052 65008 99424 105638 118456 128104 130016 208169 211276 236912 256208 272221 416338 422552 473824 512416 544442 832676 845104 1088884 1665352 1690208 2177768 3330704 3538873 4355536 6661408 7077746 8711072 14155492 28310984 56621968 113243936