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112670624 = 25113741211
BaseRepresentation
bin1101011011100…
…11011110100000
321212000021001002
412231303132200
5212320424444
615102531132
72535453533
oct655633640
9255007032
10112670624
1158666120
1231896aa8
131a45bb11
1410d6ca1a
159d58d4e
hex6b737a0

112670624 has 96 divisors (see below), whose sum is σ = 255794112. Its totient is φ = 48384000.

The previous prime is 112670563. The next prime is 112670639. The reversal of 112670624 is 426076211.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533879 + ... + 534089.

It is an arithmetic number, because the mean of its divisors is an integer number (2664522).

Almost surely, 2112670624 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 112670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127897056).

112670624 is an abundant number, since it is smaller than the sum of its proper divisors (143123488).

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

112670624 is a wasteful number, since it uses less digits than its factorization.

112670624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 112670624 is about 10614.6419628737. The cubic root of 112670624 is about 482.9886218559.

The spelling of 112670624 in words is "one hundred twelve million, six hundred seventy thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 37 41 44 74 82 88 148 164 176 211 296 328 352 407 422 451 592 656 814 844 902 1184 1312 1517 1628 1688 1804 2321 3034 3256 3376 3608 4642 6068 6512 6752 7216 7807 8651 9284 12136 13024 14432 15614 16687 17302 18568 24272 31228 33374 34604 37136 48544 62456 66748 69208 74272 85877 95161 124912 133496 138416 171754 190322 249824 266992 276832 320087 343508 380644 533984 640174 687016 761288 1280348 1374032 1522576 2560696 2748064 3045152 3520957 5121392 7041914 10242784 14083828 28167656 56335312 112670624