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86130480 = 2435358877
BaseRepresentation
bin1010010001000…
…11111100110000
320000001212210210
411020203330300
5134022133410
612314024120
72064045162
oct510437460
9200055723
1086130480
1144689117
1224a18040
1314ac88a7
14b620932
157865220
hex5223f30

86130480 has 40 divisors (see below), whose sum is σ = 267005232. Its totient is φ = 22968064.

The previous prime is 86130409. The next prime is 86130491. The reversal of 86130480 is 8403168.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179199 + ... + 179678.

Almost surely, 286130480 is an apocalyptic number.

86130480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86130480 is an abundant number, since it is smaller than the sum of its proper divisors (180874752).

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

86130480 is a wasteful number, since it uses less digits than its factorization.

86130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358893 (or 358887 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86130480 is about 9280.6508392461. The cubic root of 86130480 is about 441.6236157555.

The spelling of 86130480 in words is "eighty-six million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 358877 717754 1076631 1435508 1794385 2153262 2871016 3588770 4306524 5383155 5742032 7177540 8613048 10766310 14355080 17226096 21532620 28710160 43065240 86130480