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87406860 = 223517671279
BaseRepresentation
bin1010011010110…
…11100100001100
320002110201200010
411031123210030
5134334004420
612401233220
72110642332
oct515334414
9202421603
1087406860
1145380082
1225332810
1315154848
14b873b52
157a184e0
hex535b90c

87406860 has 96 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 21593088.

The previous prime is 87406849. The next prime is 87406889. The reversal of 87406860 is 6860478.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67701 + ... + 68979.

It is an arithmetic number, because the mean of its divisors is an integer number (2741760).

Almost surely, 287406860 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 87406860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

87406860 is an abundant number, since it is smaller than the sum of its proper divisors (175802100).

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

87406860 is a wasteful number, since it uses less digits than its factorization.

87406860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 87406860 is about 9349.1635989537. The cubic root of 87406860 is about 443.7944223201.

The spelling of 87406860 in words is "eighty-seven million, four hundred six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 67 68 85 102 134 170 201 204 255 268 335 340 402 510 670 804 1005 1020 1139 1279 1340 2010 2278 2558 3417 3837 4020 4556 5116 5695 6395 6834 7674 11390 12790 13668 15348 17085 19185 21743 22780 25580 34170 38370 43486 65229 68340 76740 85693 86972 108715 130458 171386 217430 257079 260916 326145 342772 428465 434860 514158 652290 856930 1028316 1285395 1304580 1456781 1713860 2570790 2913562 4370343 5141580 5827124 7283905 8740686 14567810 17481372 21851715 29135620 43703430 87406860