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86363040 = 2535179923
BaseRepresentation
bin1010010010111…
…00101110100000
320000111200211010
411021130232200
5134102104130
612323020520
72066034201
oct511345640
9200450733
1086363040
1144827915
1224b0a740
1314b7a6ba
14b6815a8
1578ae0b0
hex525cba0

86363040 has 48 divisors (see below), whose sum is σ = 272045088. Its totient is φ = 23030016.

The previous prime is 86363033. The next prime is 86363041. The reversal of 86363040 is 4036368.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 86362989 and 86363007.

It is not an unprimeable number, because it can be changed into a prime (86363041) 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, 89482 + ... + 90441.

It is an arithmetic number, because the mean of its divisors is an integer number (5667606).

Almost surely, 286363040 is an apocalyptic number.

86363040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86363040 is an abundant number, since it is smaller than the sum of its proper divisors (185682048).

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

86363040 is a wasteful number, since it uses less digits than its factorization.

86363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179941 (or 179933 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 86363040 is about 9293.1716867816. The cubic root of 86363040 is about 442.0207329737.

It can be divided in two parts, 863 and 63040, that added together give a triangular number (63903 = T357).

The spelling of 86363040 in words is "eighty-six million, three hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 179923 359846 539769 719692 899615 1079538 1439384 1799230 2159076 2698845 2878768 3598460 4318152 5397690 5757536 7196920 8636304 10795380 14393840 17272608 21590760 28787680 43181520 86363040