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112625536 = 274797193
BaseRepresentation
bin1101011011010…
…00011110000000
321211220222012011
412231220132000
5212313004121
615101542304
72535205222
oct655503600
9254828164
10112625536
1158635261
1231874994
131a44443a
1410d5a412
159d4a7e1
hex6b68780

112625536 has 64 divisors (see below), whose sum is σ = 232706880. Its totient is φ = 54263808.

The previous prime is 112625533. The next prime is 112625543. The reversal of 112625536 is 635526211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1126255362 = 25369022718574592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112625498 and 112625507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112625533) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583456 + ... + 583648.

It is an arithmetic number, because the mean of its divisors is an integer number (3636045).

Almost surely, 2112625536 is an apocalyptic number.

112625536 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 112625536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116353440).

112625536 is an abundant number, since it is smaller than the sum of its proper divisors (120081344).

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

112625536 is an equidigital number, since it uses as much as digits as its factorization.

112625536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 112625536 is about 10612.5178916221. The cubic root of 112625536 is about 482.9241865555.

It can be divided in two parts, 1126 and 25536, that added together give a palindrome (26662).

The spelling of 112625536 in words is "one hundred twelve million, six hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 97 128 188 193 194 376 386 388 752 772 776 1504 1544 1552 3008 3088 3104 4559 6016 6176 6208 9071 9118 12352 12416 18142 18236 18721 24704 36284 36472 37442 72568 72944 74884 145136 145888 149768 290272 291776 299536 580544 583552 599072 879887 1161088 1198144 1759774 2396288 3519548 7039096 14078192 28156384 56312768 112625536