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112607376 = 24371931569
BaseRepresentation
bin1101011011001…
…00000010010000
321211220001021120
412231210002100
5212311414001
615101322240
72535101250
oct655440220
9254801246
10112607376
1158622652
1231866380
131a4390ab
1410d53960
159d45236
hex6b64090

112607376 has 160 divisors (see below), whose sum is σ = 361881600. Its totient is φ = 29445120.

The previous prime is 112607359. The next prime is 112607381. The reversal of 112607376 is 673706211.

It is a super-2 number, since 2×1126073762 = 25360842259210752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197620 + ... + 198188.

It is an arithmetic number, because the mean of its divisors is an integer number (2261760).

Almost surely, 2112607376 is an apocalyptic number.

112607376 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 112607376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180940800).

112607376 is an abundant number, since it is smaller than the sum of its proper divisors (249274224).

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

112607376 is a wasteful number, since it uses less digits than its factorization.

112607376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 112607376 is about 10611.6622637549. The cubic root of 112607376 is about 482.8982292255.

The spelling of 112607376 in words is "one hundred twelve million, six hundred seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 31 38 42 48 56 57 62 76 84 93 112 114 124 133 152 168 186 217 228 248 266 304 336 372 399 434 456 496 532 569 589 651 744 798 868 912 1064 1138 1178 1302 1488 1596 1707 1736 1767 2128 2276 2356 2604 3192 3414 3472 3534 3983 4123 4552 4712 5208 6384 6828 7068 7966 8246 9104 9424 10416 10811 11949 12369 13656 14136 15932 16492 17639 21622 23898 24738 27312 28272 31864 32433 32984 35278 43244 47796 49476 52917 63728 64866 65968 70556 75677 86488 95592 98952 105834 123473 129732 141112 151354 172976 191184 197904 211668 227031 246946 259464 282224 302708 335141 370419 423336 454062 493892 518928 605416 670282 740838 846672 908124 987784 1005423 1210832 1340564 1481676 1816248 1975568 2010846 2345987 2681128 2963352 3632496 4021692 4691974 5362256 5926704 7037961 8043384 9383948 14075922 16086768 18767896 28151844 37535792 56303688 112607376