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87400260 = 223254710331
BaseRepresentation
bin1010011010110…
…01111101000100
320002110101121200
411031121331010
5134333302020
612401142500
72110614153
oct515317504
9202411550
1087400260
1145376122
122532aa30
131515183c
14b87159a
157a16590
hex5359f44

87400260 has 72 divisors (see below), whose sum is σ = 270781056. Its totient is φ = 22808640.

The previous prime is 87400259. The next prime is 87400267. The reversal of 87400260 is 6200478.

It is not an unprimeable number, because it can be changed into a prime (87400267) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3295 + ... + 13625.

It is an arithmetic number, because the mean of its divisors is an integer number (3760848).

Almost surely, 287400260 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 87400260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135390528).

87400260 is an abundant number, since it is smaller than the sum of its proper divisors (183380796).

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

87400260 is a wasteful number, since it uses less digits than its factorization.

87400260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10393 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 87400260 is about 9348.8106195387. The cubic root of 87400260 is about 443.7832518890.

The spelling of 87400260 in words is "eighty-seven million, four hundred thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 10331 20662 30993 41324 51655 61986 92979 103310 123972 154965 185958 206620 309930 371916 464895 485557 619860 929790 971114 1456671 1859580 1942228 2427785 2913342 4370013 4855570 5826684 7283355 8740026 9711140 14566710 17480052 21850065 29133420 43700130 87400260