Search a number
-
+
87152780 = 225111331983
BaseRepresentation
bin1010011000111…
…01100010001100
320001222211010202
411030131202030
5134302342110
612351553032
72105533511
oct514354214
9201884122
1087152780
11452171a0
122522b778
1315095cc0
14b809308
1579b80a5
hex531d88c

87152780 has 96 divisors (see below), whose sum is σ = 222179328. Its totient is φ = 28281600.

The previous prime is 87152771. The next prime is 87152783. The reversal of 87152780 is 8725178.

It is not an unprimeable number, because it can be changed into a prime (87152783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88169 + ... + 89151.

It is an arithmetic number, because the mean of its divisors is an integer number (2314368).

Almost surely, 287152780 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 87152780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111089664).

87152780 is an abundant number, since it is smaller than the sum of its proper divisors (135026548).

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

87152780 is a wasteful number, since it uses less digits than its factorization.

87152780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 38.

The square root of 87152780 is about 9335.5653283559. The cubic root of 87152780 is about 443.3639880562.

The spelling of 87152780 in words is "eighty-seven million, one hundred fifty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 31 44 52 55 62 65 110 124 130 143 155 220 260 286 310 341 403 572 620 682 715 806 983 1364 1430 1612 1705 1966 2015 2860 3410 3932 4030 4433 4915 6820 8060 8866 9830 10813 12779 17732 19660 21626 22165 25558 30473 43252 44330 51116 54065 60946 63895 88660 108130 121892 127790 140569 152365 216260 255580 281138 304730 335203 396149 562276 609460 670406 702845 792298 1340812 1405690 1584596 1676015 1980745 2811380 3352030 3961490 4357639 6704060 7922980 8715278 17430556 21788195 43576390 87152780