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86557120 = 2651320807
BaseRepresentation
bin1010010100011…
…00000111000000
320000212120001021
411022030013000
5134124311440
612331115224
72100503056
oct512140700
9200776037
1086557120
114494a711
1224ba2b14
1314c17b40
14b6d21d6
1578eb84a
hex528c1c0

86557120 has 56 divisors (see below), whose sum is σ = 221979744. Its totient is φ = 31958016.

The previous prime is 86557111. The next prime is 86557123. The reversal of 86557120 is 2175568.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86557123) 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, 6244 + ... + 14563.

It is an arithmetic number, because the mean of its divisors is an integer number (3963924).

Almost surely, 286557120 is an apocalyptic number.

86557120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86557120 is an abundant number, since it is smaller than the sum of its proper divisors (135422624).

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

86557120 is a wasteful number, since it uses less digits than its factorization.

86557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20837 (or 20827 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 86557120 is about 9303.6079023140. The cubic root of 86557120 is about 442.3515967392.

The spelling of 86557120 in words is "eighty-six million, five hundred fifty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 20807 41614 83228 104035 166456 208070 270491 332912 416140 540982 665824 832280 1081964 1331648 1352455 1664560 2163928 2704910 3329120 4327856 5409820 6658240 8655712 10819640 17311424 21639280 43278560 86557120