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113725944 = 2335193079
BaseRepresentation
bin1101100011101…
…01000111111000
321220222212200000
412301311013320
5213103212234
615141313000
72550440343
oct661650770
9256885600
10113725944
1159216a92
1232105760
131a73b277
141116545a
159eb6899
hex6c751f8

113725944 has 96 divisors (see below), whose sum is σ = 336336000. Its totient is φ = 35901792.

The previous prime is 113725939. The next prime is 113725987. The reversal of 113725944 is 449527311.

It is a super-2 number, since 2×1137259442 = 25867180677382272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113725899 and 113725908.

It is a congruent number.

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, 35397 + ... + 38475.

It is an arithmetic number, because the mean of its divisors is an integer number (3503500).

Almost surely, 2113725944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113725944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168168000).

113725944 is an abundant number, since it is smaller than the sum of its proper divisors (222610056).

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

113725944 is a wasteful number, since it uses less digits than its factorization.

113725944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3103 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 113725944 is about 10664.2366815445. The cubic root of 113725944 is about 484.4918956940.

The spelling of 113725944 in words is "one hundred thirteen million, seven hundred twenty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1944 2052 3078 3079 4104 4617 6156 6158 9234 9237 12312 12316 18468 18474 24632 27711 36936 36948 55422 58501 73896 83133 110844 117002 166266 175503 221688 234004 249399 332532 351006 468008 498798 526509 665064 702012 748197 997596 1053018 1404024 1496394 1579527 1995192 2106036 2992788 3159054 4212072 4738581 5985576 6318108 9477162 12636216 14215743 18954324 28431486 37908648 56862972 113725944