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87301332 = 223231137571
BaseRepresentation
bin1010011010000…
…01110011010100
320002021100220200
411031001303110
5134322120312
612355100500
72110022556
oct515016324
9202240820
1087301332
1145308868
12252a1730
13151187c1
14b8474d6
1579e70dc
hex5341cd4

87301332 has 72 divisors (see below), whose sum is σ = 229861632. Its totient is φ = 27907200.

The previous prime is 87301271. The next prime is 87301367. The reversal of 87301332 is 23310378.

It is a junction number, because it is equal to n+sod(n) for n = 87301296 and 87301305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152607 + ... + 153177.

Almost surely, 287301332 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 87301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114930816).

87301332 is an abundant number, since it is smaller than the sum of its proper divisors (142560300).

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

87301332 is a wasteful number, since it uses less digits than its factorization.

87301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 87301332 is about 9343.5181810708. The cubic root of 87301332 is about 443.6157498535.

The spelling of 87301332 in words is "eighty-seven million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 137 186 274 279 372 411 548 558 571 822 1116 1142 1233 1644 1713 2284 2466 3426 4247 4932 5139 6852 8494 10278 12741 16988 17701 20556 25482 35402 38223 50964 53103 70804 76446 78227 106206 152892 156454 159309 212412 234681 312908 318618 469362 637236 704043 938724 1408086 2425037 2816172 4850074 7275111 9700148 14550222 21825333 29100444 43650666 87301332