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86840480 = 2553714669
BaseRepresentation
bin1010010110100…
…01010010100000
320001101221202002
411023101102200
5134212343410
612341143132
72103063146
oct513212240
9201357662
1086840480
11450235a1
12250baaa8
1314cb6acc
14b767596
1579557a5
hex52d14a0

86840480 has 48 divisors (see below), whose sum is σ = 210719880. Its totient is φ = 33795072.

The previous prime is 86840477. The next prime is 86840483. The reversal of 86840480 is 8404868.

It is an interprime number because it is at equal distance from previous prime (86840477) and next prime (86840483).

It can be written as a sum of positive squares in 4 ways, for example, as 84566416 + 2274064 = 9196^2 + 1508^2 .

It is not an unprimeable number, because it can be changed into a prime (86840483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1415 + ... + 13254.

Almost surely, 286840480 is an apocalyptic number.

86840480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86840480 is an abundant number, since it is smaller than the sum of its proper divisors (123879400).

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

86840480 is a wasteful number, since it uses less digits than its factorization.

86840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14721 (or 14713 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 86840480 is about 9318.8239601357. The cubic root of 86840480 is about 442.8337762806.

The spelling of 86840480 in words is "eighty-six million, eight hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 14669 29338 58676 73345 117352 146690 234704 293380 469408 542753 586760 1085506 1173520 2171012 2347040 2713765 4342024 5427530 8684048 10855060 17368096 21710120 43420240 86840480