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71540736 = 21334171
BaseRepresentation
bin1000100001110…
…10000000000000
311222121122102220
410100322000000
5121303300421
611033211040
71526041401
oct420720000
9158548386
1071540736
1137423683
121bb60a80
1311a8abc7
1497039a8
1564323c6
hex443a000

71540736 has 112 divisors (see below), whose sum is σ = 198168768. Its totient is φ = 22937600.

The previous prime is 71540723. The next prime is 71540759. The reversal of 71540736 is 63704517.

It is a junction number, because it is equal to n+sod(n) for n = 71540697 and 71540706.

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, 1007581 + ... + 1007651.

It is an arithmetic number, because the mean of its divisors is an integer number (1769364).

Almost surely, 271540736 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 71540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99084384).

71540736 is an abundant number, since it is smaller than the sum of its proper divisors (126628032).

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

71540736 is an equidigital number, since it uses as much as digits as its factorization.

71540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 71540736 is about 8458.1756898282. The cubic root of 71540736 is about 415.1303330901.

The spelling of 71540736 in words is "seventy-one million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 71 82 96 123 128 142 164 192 213 246 256 284 328 384 426 492 512 568 656 768 852 984 1024 1136 1312 1536 1704 1968 2048 2272 2624 2911 3072 3408 3936 4096 4544 5248 5822 6144 6816 7872 8192 8733 9088 10496 11644 12288 13632 15744 17466 18176 20992 23288 24576 27264 31488 34932 36352 41984 46576 54528 62976 69864 72704 83968 93152 109056 125952 139728 145408 167936 186304 218112 251904 279456 290816 335872 372608 436224 503808 558912 581632 745216 872448 1007616 1117824 1490432 1744896 2235648 2980864 4471296 5961728 8942592 11923456 17885184 23846912 35770368 71540736