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87680040 = 23357104381
BaseRepresentation
bin1010011100111…
…10010000101000
320002222121101220
411032132100220
5134421230130
612411142040
72113160640
oct516362050
9202877356
1087680040
1145547348
1225444920
131521bca6
14b905520
157a6e410
hex539e428

87680040 has 64 divisors (see below), whose sum is σ = 300620160. Its totient is φ = 20040960.

The previous prime is 87680029. The next prime is 87680057. The reversal of 87680040 is 4008678.

It is a junction number, because it is equal to n+sod(n) for n = 87679983 and 87680010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51351 + ... + 53030.

It is an arithmetic number, because the mean of its divisors is an integer number (4697190).

Almost surely, 287680040 is an apocalyptic number.

It is an amenable number.

87680040 is an abundant number, since it is smaller than the sum of its proper divisors (212940120).

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

87680040 is a wasteful number, since it uses less digits than its factorization.

87680040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104402 (or 104398 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87680040 is about 9363.7620644696. The cubic root of 87680040 is about 444.2562841479.

The spelling of 87680040 in words is "eighty-seven million, six hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 104381 208762 313143 417524 521905 626286 730667 835048 1043810 1252572 1461334 1565715 2087620 2192001 2505144 2922668 3131430 3653335 4175240 4384002 5845336 6262860 7306670 8768004 10960005 12525720 14613340 17536008 21920010 29226680 43840020 87680040