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86088068 = 221117711621
BaseRepresentation
bin1010010000110…
…01100110000100
312222222201121222
411020121212010
5134014304233
612313055512
72063510423
oct510314604
9188881558
1086088068
114465a270
12249b7598
1314ab24b1
14b60d2ba
157857898
hex5219984

86088068 has 48 divisors (see below), whose sum is σ = 176577408. Its totient is φ = 36288000.

The previous prime is 86088049. The next prime is 86088071.

86088068 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×860880682 = 14822310903945248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52298 + ... + 53918.

It is an arithmetic number, because the mean of its divisors is an integer number (3678696).

Almost surely, 286088068 is an apocalyptic number.

It is an amenable number.

86088068 is an abundant number, since it is smaller than the sum of its proper divisors (90489340).

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

86088068 is a wasteful number, since it uses less digits than its factorization.

86088068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The square root of 86088068 is about 9278.3655888308. The cubic root of 86088068 is about 441.5511163880.

The spelling of 86088068 in words is "eighty-six million, eighty-eight thousand, sixty-eight".

Divisors: 1 2 4 11 17 22 34 44 68 71 142 187 284 374 748 781 1207 1562 1621 2414 3124 3242 4828 6484 13277 17831 26554 27557 35662 53108 55114 71324 110228 115091 230182 303127 460364 606254 1212508 1266001 1956547 2532002 3913094 5064004 7826188 21522017 43044034 86088068