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87342164 = 227131973173
BaseRepresentation
bin1010011010010…
…11110001010100
320002100102220222
411031023301110
5134324422124
612400013512
72110252610
oct515136124
9202312828
1087342164
1145336508
1225301298
1315131270
14b858340
157a0425e
hex534bc54

87342164 has 96 divisors (see below), whose sum is σ = 201895680. Its totient is φ = 32099328.

The previous prime is 87342139. The next prime is 87342181. The reversal of 87342164 is 46124378.

It is a super-2 number, since 2×873421642 = 15257307224405792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504782 + ... + 504954.

It is an arithmetic number, because the mean of its divisors is an integer number (2103080).

Almost surely, 287342164 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 87342164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100947840).

87342164 is an abundant number, since it is smaller than the sum of its proper divisors (114553516).

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

87342164 is a wasteful number, since it uses less digits than its factorization.

87342164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its digits is 32256, while the sum is 35.

The square root of 87342164 is about 9345.7029698145. The cubic root of 87342164 is about 443.6849007458.

The spelling of 87342164 in words is "eighty-seven million, three hundred forty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 73 76 91 133 146 173 182 247 266 292 346 364 494 511 532 692 949 988 1022 1211 1387 1729 1898 2044 2249 2422 2774 3287 3458 3796 4498 4844 5548 6574 6643 6916 8996 9709 12629 13148 13286 15743 18031 19418 23009 25258 26572 31486 36062 38836 42731 46018 50516 62972 72124 85462 88403 92036 126217 164177 170924 176806 239951 252434 299117 328354 353612 479902 504868 598234 656708 959804 1149239 1196468 1679657 2298478 3119363 3359314 4596956 6238726 6718628 12477452 21835541 43671082 87342164