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87426560 = 295133771
BaseRepresentation
bin1010011011000…
…00011000000000
320002111201200202
411031200120000
5134340122220
612401504332
72111053634
oct515403000
9202451622
1087426560
1145393961
12253420a8
13151607c0
14b87adc4
157a1e275
hex5360600

87426560 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 30965760.

The previous prime is 87426551. The next prime is 87426571. The reversal of 87426560 is 6562478.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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, 1231325 + ... + 1231395.

Almost surely, 287426560 is an apocalyptic number.

87426560 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 87426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

87426560 is an abundant number, since it is smaller than the sum of its proper divisors (147683392).

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

87426560 is a wasteful number, since it uses less digits than its factorization.

87426560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 87426560 is about 9350.2171097788. The cubic root of 87426560 is about 443.8277610206.

The spelling of 87426560 in words is "eighty-seven million, four hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 37 40 52 64 65 71 74 80 104 128 130 142 148 160 185 208 256 260 284 296 320 355 370 416 481 512 520 568 592 640 710 740 832 923 962 1040 1136 1184 1280 1420 1480 1664 1846 1924 2080 2272 2368 2405 2560 2627 2840 2960 3328 3692 3848 4160 4544 4615 4736 4810 5254 5680 5920 6656 7384 7696 8320 9088 9230 9472 9620 10508 11360 11840 13135 14768 15392 16640 18176 18460 18944 19240 21016 22720 23680 26270 29536 30784 33280 34151 36352 36920 38480 42032 45440 47360 52540 59072 61568 68302 73840 76960 84064 90880 94720 105080 118144 123136 136604 147680 153920 168128 170755 181760 210160 236288 246272 273208 295360 307840 336256 341510 420320 472576 546416 590720 615680 672512 683020 840640 1092832 1181440 1231360 1345024 1366040 1681280 2185664 2362880 2732080 3362560 4371328 5464160 6725120 8742656 10928320 17485312 21856640 43713280 87426560