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87132708 = 2232131941239
BaseRepresentation
bin1010011000110…
…00101000100100
320001221210121100
411030120220210
5134301221313
612351320100
72105421135
oct514305044
9201853540
1087132708
1145203103
1225220030
1315089b20
14b801c8c
1579b2173
hex5318a24

87132708 has 144 divisors (see below), whose sum is σ = 256838400. Its totient is φ = 24675840.

The previous prime is 87132707. The next prime is 87132709. The reversal of 87132708 is 80723178.

It is an interprime number because it is at equal distance from previous prime (87132707) and next prime (87132709).

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 (87132707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364453 + ... + 364691.

It is an arithmetic number, because the mean of its divisors is an integer number (1783600).

Almost surely, 287132708 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 87132708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128419200).

87132708 is an abundant number, since it is smaller than the sum of its proper divisors (169705692).

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

87132708 is a wasteful number, since it uses less digits than its factorization.

87132708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87132708 is about 9334.4902378223. The cubic root of 87132708 is about 443.3299486554.

The spelling of 87132708 in words is "eighty-seven million, one hundred thirty-two thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 41 52 57 76 78 82 114 117 123 156 164 171 228 234 239 246 247 342 369 468 478 492 494 533 684 717 738 741 779 956 988 1066 1434 1476 1482 1558 1599 2132 2151 2223 2337 2868 2964 3107 3116 3198 4302 4446 4541 4674 4797 6214 6396 7011 8604 8892 9082 9321 9348 9594 9799 10127 12428 13623 14022 18164 18642 19188 19598 20254 27246 27963 28044 29397 30381 37284 39196 40508 40869 54492 55926 58794 59033 60762 81738 88191 91143 111852 117588 118066 121524 127387 163476 176382 177099 182286 186181 236132 254774 352764 354198 364572 372362 382161 509548 531297 558543 708396 744724 764322 1062594 1117086 1146483 1528644 1675629 2125188 2234172 2292966 2420353 3351258 4585932 4840706 6702516 7261059 9681412 14522118 21783177 29044236 43566354 87132708