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87142220 = 22511419661
BaseRepresentation
bin1010011000110…
…10111101001100
320001222021122122
411030122331030
5134302022340
612351432112
72105460644
oct514327514
9201867578
1087142220
114520a270
1225225638
1315091259
14b805524
1579b4db5
hex531af4c

87142220 has 48 divisors (see below), whose sum is σ = 204525216. Its totient is φ = 30912000.

The previous prime is 87142213. The next prime is 87142243. The reversal of 87142220 is 2224178.

It is a self number, because there is not a number n which added to its sum of digits gives 87142220.

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, 4190 + ... + 13850.

It is an arithmetic number, because the mean of its divisors is an integer number (4260942).

Almost surely, 287142220 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 87142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102262608).

87142220 is an abundant number, since it is smaller than the sum of its proper divisors (117382996).

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

87142220 is a wasteful number, since it uses less digits than its factorization.

87142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 87142220 is about 9334.9997321907. Note that the first 3 decimals coincide. The cubic root of 87142220 is about 443.3460803742.

Adding to 87142220 its reverse (2224178), we get a palindrome (89366398).

The spelling of 87142220 in words is "eighty-seven million, one hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 9661 19322 38644 48305 96610 106271 193220 212542 396101 425084 531355 792202 1062710 1584404 1980505 2125420 3961010 4357111 7922020 8714222 17428444 21785555 43571110 87142220