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87318504 = 233271313327
BaseRepresentation
bin1010011010001…
…01111111101000
320002022020110200
411031011333220
5134323143004
612355312200
72110123620
oct515057750
9202266420
1087318504
114531a759
12252ab660
1315123570
14b84d880
1579ec239
hex5345fe8

87318504 has 96 divisors (see below), whose sum is σ = 291083520. Its totient is φ = 23027328.

The previous prime is 87318503. The next prime is 87318521. The reversal of 87318504 is 40581378.

It is a super-2 number, since 2×873185042 = 15249042281596032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87318503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (3032120).

Almost surely, 287318504 is an apocalyptic number.

87318504 is a gapful number since it is divisible by the number (84) 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 87318504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145541760).

87318504 is an abundant number, since it is smaller than the sum of its proper divisors (203765016).

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

87318504 is a wasteful number, since it uses less digits than its factorization.

87318504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13352 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87318504 is about 9344.4370616961. The cubic root of 87318504 is about 443.6448340613.

The spelling of 87318504 in words is "eighty-seven million, three hundred eighteen thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 13327 26654 39981 53308 79962 93289 106616 119943 159924 173251 186578 239886 279867 319848 346502 373156 479772 519753 559734 693004 746312 839601 959544 1039506 1119468 1212757 1386008 1559259 1679202 2079012 2238936 2425514 3118518 3358404 3638271 4158024 4851028 6237036 6716808 7276542 9702056 10914813 12474072 14553084 21829626 29106168 43659252 87318504