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86897016 = 23333783131
BaseRepresentation
bin1010010110111…
…11000101111000
320001111211022000
411023133011320
5134221201031
612342301000
72103420033
oct513370570
9201454260
1086897016
1145062018
1225127760
131500676b
14b78001a
1579673e6
hex52df178

86897016 has 128 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 27630720.

The previous prime is 86897011. The next prime is 86897017. The reversal of 86897016 is 61079868.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86897011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663271 + ... + 663401.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 286897016 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 86897016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

86897016 is an abundant number, since it is smaller than the sum of its proper divisors (165909384).

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

86897016 is a wasteful number, since it uses less digits than its factorization.

86897016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 86897016 is about 9321.8568965630. The cubic root of 86897016 is about 442.9298552031.

The spelling of 86897016 in words is "eighty-six million, eight hundred ninety-seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 83 108 111 131 148 166 216 222 249 262 296 332 333 393 444 498 524 664 666 747 786 888 996 999 1048 1179 1332 1494 1572 1992 1998 2241 2358 2664 2988 3071 3144 3537 3996 4482 4716 4847 5976 6142 7074 7992 8964 9213 9432 9694 10873 12284 14148 14541 17928 18426 19388 21746 24568 27639 28296 29082 32619 36852 38776 43492 43623 55278 58164 65238 73704 82917 86984 87246 97857 110556 116328 130476 130869 165834 174492 195714 221112 260952 261738 293571 331668 348984 391428 402301 523476 587142 663336 782856 804602 1046952 1174284 1206903 1609204 2348568 2413806 3218408 3620709 4827612 7241418 9655224 10862127 14482836 21724254 28965672 43448508 86897016