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102660288 = 2635031063
BaseRepresentation
bin1100001111001…
…11100011000000
321011011200102220
412013213203000
5202240112123
614104211040
72354412063
oct607474300
9234150386
10102660288
1152a49215
122a469a80
1318365643
14d8c48da
15902cce3
hex61e78c0

102660288 has 56 divisors (see below), whose sum is σ = 272418048. Its totient is φ = 34119936.

The previous prime is 102660223. The next prime is 102660289. The reversal of 102660288 is 882066201.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (102660289) 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, 96045 + ... + 97107.

It is an arithmetic number, because the mean of its divisors is an integer number (4864608).

Almost surely, 2102660288 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 102660288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136209024).

102660288 is an abundant number, since it is smaller than the sum of its proper divisors (169757760).

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

102660288 is a wasteful number, since it uses less digits than its factorization.

102660288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 102660288 is about 10132.1413334004. The cubic root of 102660288 is about 468.2389020597.

The spelling of 102660288 in words is "one hundred two million, six hundred sixty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 1006 1063 1509 2012 2126 3018 3189 4024 4252 6036 6378 8048 8504 12072 12756 16096 17008 24144 25512 32192 34016 48288 51024 68032 96576 102048 204096 534689 1069378 1604067 2138756 3208134 4277512 6416268 8555024 12832536 17110048 25665072 34220096 51330144 102660288