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87687270 = 232511233851
BaseRepresentation
bin1010011101000…
…00000001100110
320002222222022200
411032200001212
5134421443040
612411235330
72113221006
oct516400146
9202888280
1087687270
1145551820
1225448b46
1315222378
14b908006
157a71630
hex53a0066

87687270 has 96 divisors (see below), whose sum is σ = 259593984. Its totient is φ = 20328000.

The previous prime is 87687269. The next prime is 87687283. The reversal of 87687270 is 7278678.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20845 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (2704104).

Almost surely, 287687270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87687270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129796992).

87687270 is an abundant number, since it is smaller than the sum of its proper divisors (171906714).

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

87687270 is a wasteful number, since it uses less digits than its factorization.

87687270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 87687270 is about 9364.1481192899. The cubic root of 87687270 is about 444.2684947743.

The spelling of 87687270 in words is "eighty-seven million, six hundred eighty-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 495 506 690 759 990 1035 1265 1518 2070 2277 2530 3795 3851 4554 7590 7702 11385 11553 19255 22770 23106 34659 38510 42361 57765 69318 84722 88573 115530 127083 173295 177146 211805 254166 265719 346590 381249 423610 442865 531438 635415 762498 797157 885730 974303 1270830 1328595 1594314 1906245 1948606 2657190 2922909 3812490 3985785 4871515 5845818 7971570 8768727 9743030 14614545 17537454 29229090 43843635 87687270