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87055280 = 24513247137
BaseRepresentation
bin1010011000001…
…01101110110000
320001210212101122
411030011232300
5134241232110
612345521412
72104646324
oct514055660
9201725348
1087055280
114515aa14
12251a3268
1315060800
14b7c1984
157999255
hex5305bb0

87055280 has 120 divisors (see below), whose sum is σ = 225467712. Its totient is φ = 31229952.

The previous prime is 87055279. The next prime is 87055289. The reversal of 87055280 is 8255078.

It is a self number, because there is not a number n which added to its sum of digits gives 87055280.

It is not an unprimeable number, because it can be changed into a prime (87055289) 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, 635372 + ... + 635508.

Almost surely, 287055280 is an apocalyptic number.

87055280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112733856).

87055280 is an abundant number, since it is smaller than the sum of its proper divisors (138412432).

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

87055280 is a wasteful number, since it uses less digits than its factorization.

87055280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 35.

The square root of 87055280 is about 9330.3419015597. The cubic root of 87055280 is about 443.1985922271.

The spelling of 87055280 in words is "eighty-seven million, fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 137 169 188 208 235 260 274 338 376 470 520 548 611 676 685 752 845 940 1040 1096 1222 1352 1370 1690 1781 1880 2192 2444 2704 2740 3055 3380 3562 3760 4888 5480 6110 6439 6760 7124 7943 8905 9776 10960 12220 12878 13520 14248 15886 17810 23153 24440 25756 28496 31772 32195 35620 39715 46306 48880 51512 63544 64390 71240 79430 83707 92612 103024 115765 127088 128780 142480 158860 167414 185224 231530 257560 317720 334828 370448 418535 463060 515120 635440 669656 837070 926120 1088191 1339312 1674140 1852240 2176382 3348280 4352764 5440955 6696560 8705528 10881910 17411056 21763820 43527640 87055280