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71709696 = 2103231251
BaseRepresentation
bin1000100011000…
…11010000000000
311222221020012200
410101203100000
5121324202241
611040553200
71530344112
oct421432000
9158836180
1071709696
1137529613
1220022800
1311b19a96
1497493b2
1564674b6
hex4463400

71709696 has 132 divisors (see below), whose sum is σ = 214591104. Its totient is φ = 23040000.

The previous prime is 71709691. The next prime is 71709707. The reversal of 71709696 is 69690717.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71709691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285571 + ... + 285821.

Almost surely, 271709696 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 71709696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107295552).

71709696 is an abundant number, since it is smaller than the sum of its proper divisors (142881408).

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

71709696 is a wasteful number, since it uses less digits than its factorization.

71709696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 71709696 is about 8468.1577689601. The cubic root of 71709696 is about 415.4568849249.

The spelling of 71709696 in words is "seventy-one million, seven hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 251 256 279 288 372 384 496 502 512 558 576 744 753 768 992 1004 1024 1116 1152 1488 1506 1536 1984 2008 2232 2259 2304 2976 3012 3072 3968 4016 4464 4518 4608 5952 6024 7781 7936 8032 8928 9036 9216 11904 12048 15562 15872 16064 17856 18072 23343 23808 24096 31124 31744 32128 35712 36144 46686 47616 48192 62248 64256 70029 71424 72288 93372 95232 96384 124496 128512 140058 142848 144576 186744 192768 248992 257024 280116 285696 289152 373488 385536 497984 560232 578304 746976 771072 995968 1120464 1156608 1493952 1991936 2240928 2313216 2987904 3983872 4481856 5975808 7967744 8963712 11951616 17927424 23903232 35854848 71709696