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112472712 = 23341131509
BaseRepresentation
bin1101011010000…
…11001010001000
321211122012120000
412231003022020
5212243111322
615054403000
72534000532
oct655031210
9254565500
10112472712
1158540460
1231800460
131a3bca01
1410d1a852
159d1a3ac
hex6b43288

112472712 has 160 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 32918400.

The previous prime is 112472707. The next prime is 112472713. The reversal of 112472712 is 217274211.

It is a happy number.

It is a super-2 number, since 2×1124727122 = 25300221889269888, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (112472713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220714 + ... + 221222.

It is an arithmetic number, because the mean of its divisors is an integer number (2221560).

Almost surely, 2112472712 is an apocalyptic number.

112472712 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 112472712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).

112472712 is an abundant number, since it is smaller than the sum of its proper divisors (242976888).

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

112472712 is a wasteful number, since it uses less digits than its factorization.

112472712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 556 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 112472712 is about 10605.3152711270. The cubic root of 112472712 is about 482.7056576290.

The spelling of 112472712 in words is "one hundred twelve million, four hundred seventy-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 509 558 594 648 682 744 792 837 891 1018 1023 1116 1188 1364 1527 1674 1782 2036 2046 2232 2376 2511 2728 3054 3069 3348 3564 4072 4092 4581 5022 5599 6108 6138 6696 7128 8184 9162 9207 10044 11198 12216 12276 13743 15779 16797 18324 18414 20088 22396 24552 27486 27621 31558 33594 36648 36828 41229 44792 47337 50391 54972 55242 63116 67188 73656 82458 94674 100782 109944 110484 126232 134376 142011 151173 164916 173569 189348 201564 220968 284022 302346 329832 347138 378696 403128 426033 453519 520707 568044 604692 694276 852066 907038 1041414 1136088 1209384 1278099 1388552 1562121 1704132 1814076 2082828 2556198 3124242 3408264 3628152 4165656 4686363 5112396 6248484 9372726 10224792 12496968 14059089 18745452 28118178 37490904 56236356 112472712