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86701416 = 23329432897
BaseRepresentation
bin1010010101011…
…11010101101000
320001010212222120
411022233111220
5134143421131
612334151240
72101643544
oct512572550
9201125876
1086701416
1144a3906a
1225052520
1314c68719
14b72ca24
157929496
hex52af568

86701416 has 64 divisors (see below), whose sum is σ = 229521600. Its totient is φ = 27245568.

The previous prime is 86701403. The next prime is 86701423. The reversal of 86701416 is 61410768.

It is a happy number.

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, 28480 + ... + 31376.

It is an arithmetic number, because the mean of its divisors is an integer number (3586275).

Almost surely, 286701416 is an apocalyptic number.

86701416 is a gapful number since it is divisible by the number (86) 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 86701416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114760800).

86701416 is an abundant number, since it is smaller than the sum of its proper divisors (142820184).

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

86701416 is a wasteful number, since it uses less digits than its factorization.

86701416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 86701416 is about 9311.3595140559. The cubic root of 86701416 is about 442.5972693061.

The spelling of 86701416 in words is "eighty-six million, seven hundred one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 2897 3741 4988 5794 7482 8691 9976 11588 14964 17382 23176 29928 34764 69528 84013 124571 168026 249142 252039 336052 373713 498284 504078 672104 747426 996568 1008156 1494852 2016312 2989704 3612559 7225118 10837677 14450236 21675354 28900472 43350708 86701416