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87131040 = 2535181523
BaseRepresentation
bin1010011000110…
…00001110100000
320001221201022120
411030120032200
5134301143130
612351304240
72105413233
oct514301640
9201851276
1087131040
1145201927
122521b080
1315089139
14b80141a
1579b1910
hex53183a0

87131040 has 48 divisors (see below), whose sum is σ = 274464288. Its totient is φ = 23234816.

The previous prime is 87130957. The next prime is 87131071. The reversal of 87131040 is 4013178.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 87131040.

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, 90282 + ... + 91241.

It is an arithmetic number, because the mean of its divisors is an integer number (5718006).

Almost surely, 287131040 is an apocalyptic number.

87131040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87131040 is an abundant number, since it is smaller than the sum of its proper divisors (187333248).

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

87131040 is a wasteful number, since it uses less digits than its factorization.

87131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181541 (or 181533 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 87131040 is about 9334.4008913267. The cubic root of 87131040 is about 443.3271197174.

The spelling of 87131040 in words is "eighty-seven million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 181523 363046 544569 726092 907615 1089138 1452184 1815230 2178276 2722845 2904368 3630460 4356552 5445690 5808736 7260920 8713104 10891380 14521840 17426208 21782760 29043680 43565520 87131040