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112609536 = 2831311279
BaseRepresentation
bin1101011011001…
…00100100000000
321211220011020120
412231210210000
5212312001121
615101340240
72535110454
oct655444400
9254804216
10112609536
1158624236
1231867680
131a43a080
1410d54664
159d45bc6
hex6b64900

112609536 has 72 divisors (see below), whose sum is σ = 322788480. Its totient is φ = 34646016.

The previous prime is 112609507. The next prime is 112609573. The reversal of 112609536 is 635906211.

It is a happy number.

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 112609497 and 112609506.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4345 + ... + 15623.

Almost surely, 2112609536 is an apocalyptic number.

112609536 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 112609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161394240).

112609536 is an abundant number, since it is smaller than the sum of its proper divisors (210178944).

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

112609536 is a wasteful number, since it uses less digits than its factorization.

112609536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11311 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 112609536 is about 10611.7640380853. The cubic root of 112609536 is about 482.9013168074.

The spelling of 112609536 in words is "one hundred twelve million, six hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 9984 11279 22558 33837 45116 67674 90232 135348 146627 180464 270696 293254 360928 439881 541392 586508 721856 879762 1082784 1173016 1443712 1759524 2165568 2346032 2887424 3519048 4331136 4692064 7038096 8662272 9384128 14076192 18768256 28152384 37536512 56304768 112609536