Search a number
-
+
71112496 = 247133172
BaseRepresentation
bin1000011110100…
…01011100110000
311221210220000011
410033101130300
5121201044441
611020104304
71522306030
oct417213460
9157726004
1071112496
1137160964
121b995094
131196b000
1496318c0
15639a581
hex43d1730

71112496 has 120 divisors (see below), whose sum is σ = 181203680. Its totient is φ = 26477568.

The previous prime is 71112487. The next prime is 71112511. The reversal of 71112496 is 69421117.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4183080 + ... + 4183096.

Almost surely, 271112496 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 71112496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90601840).

71112496 is an abundant number, since it is smaller than the sum of its proper divisors (110091184).

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

71112496 is a wasteful number, since it uses less digits than its factorization.

71112496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 39 counting only the distinct ones).

The product of its digits is 3024, while the sum is 31.

The square root of 71112496 is about 8432.8225405258. The cubic root of 71112496 is about 414.3003569254.

The spelling of 71112496 in words is "seventy-one million, one hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 169 182 208 221 238 272 289 338 364 442 476 578 676 728 884 952 1156 1183 1352 1456 1547 1768 1904 2023 2197 2312 2366 2704 2873 3094 3536 3757 4046 4394 4624 4732 5746 6188 7514 8092 8788 9464 11492 12376 15028 15379 16184 17576 18928 20111 22984 24752 26299 30056 30758 32368 35152 37349 40222 45968 48841 52598 60112 61516 74698 80444 97682 105196 123032 149396 160888 195364 210392 246064 261443 298792 321776 341887 390728 420784 522886 597584 634933 683774 781456 1045772 1269866 1367548 2091544 2539732 2735096 4183088 4444531 5079464 5470192 8889062 10158928 17778124 35556248 71112496