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112071696 = 243113141167
BaseRepresentation
bin1101010111000…
…01010000010000
321210212211110120
412223201100100
5212142243241
615042030240
72530410432
oct653412020
9253784416
10112071696
1158297140
1231648380
131a2ac319
1410c54652
159c8b666
hex6ae1410

112071696 has 160 divisors (see below), whose sum is σ = 335978496. Its totient is φ = 31872000.

The previous prime is 112071683. The next prime is 112071731. The reversal of 112071696 is 696170211.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 671005 + ... + 671171.

Almost surely, 2112071696 is an apocalyptic number.

112071696 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 112071696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167989248).

112071696 is an abundant number, since it is smaller than the sum of its proper divisors (223906800).

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

112071696 is a wasteful number, since it uses less digits than its factorization.

112071696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 112071696 is about 10586.3920199471. The cubic root of 112071696 is about 482.1312865857.

The spelling of 112071696 in words is "one hundred twelve million, seventy-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 41 44 48 62 66 82 88 93 123 124 132 164 167 176 186 246 248 264 328 334 341 372 451 492 496 501 528 656 668 682 744 902 984 1002 1023 1271 1336 1353 1364 1488 1804 1837 1968 2004 2046 2542 2672 2706 2728 3608 3674 3813 4008 4092 5084 5177 5412 5456 5511 6847 7216 7348 7626 8016 8184 10168 10354 10824 11022 13694 13981 14696 15252 15531 16368 20336 20541 20708 21648 22044 27388 27962 29392 30504 31062 41082 41416 41943 44088 54776 55924 56947 61008 62124 75317 82164 82832 83886 88176 109552 111848 113894 124248 150634 164328 167772 170841 212257 223696 225951 227788 248496 301268 328656 335544 341682 424514 451902 455576 602536 636771 671088 683364 849028 903804 911152 1205072 1273542 1366728 1698056 1807608 2334827 2547084 2733456 3396112 3615216 4669654 5094168 7004481 9339308 10188336 14008962 18678616 28017924 37357232 56035848 112071696