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102860064 = 25331747149
BaseRepresentation
bin1100010000110…
…00010100100000
321011112211111000
412020120110200
5202313010224
614112352000
72356203366
oct610302440
9234484430
10102860064
115307531a
122a545600
1318405558
14d937636
15906c0c9
hex6218520

102860064 has 192 divisors, whose sum is σ = 326592000. Its totient is φ = 31371264.

The previous prime is 102860057. The next prime is 102860141. The reversal of 102860064 is 460068201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690262 + ... + 690410.

It is an arithmetic number, because the mean of its divisors is an integer number (1701000).

Almost surely, 2102860064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

102860064 is an abundant number, since it is smaller than the sum of its proper divisors (223731936).

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

102860064 is a wasteful number, since it uses less digits than its factorization.

102860064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102860064 is about 10141.9950700047. The cubic root of 102860064 is about 468.5424348225.

The spelling of 102860064 in words is "one hundred two million, eight hundred sixty thousand, sixty-four".