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102714020 = 22541125261
BaseRepresentation
bin1100001111101…
…00101010100100
321011021102010222
412013310222210
5202243322040
614105303512
72355024533
oct607645244
9234242128
10102714020
1152a85622
122a494b98
1318383c36
14d8da31a
15903dbb5
hex61f4aa4

102714020 has 24 divisors (see below), whose sum is σ = 220962168. Its totient is φ = 40083200.

The previous prime is 102714011. The next prime is 102714037. The reversal of 102714020 is 20417201.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 95140516 = 2752^2 + 9754^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102714020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61811 + ... + 63450.

It is an arithmetic number, because the mean of its divisors is an integer number (9206757).

Almost surely, 2102714020 is an apocalyptic number.

102714020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102714020 is an abundant number, since it is smaller than the sum of its proper divisors (118248148).

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

102714020 is a wasteful number, since it uses less digits than its factorization.

102714020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125311 (or 125309 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 102714020 is about 10134.7925484442. The cubic root of 102714020 is about 468.3205792918.

The spelling of 102714020 in words is "one hundred two million, seven hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 125261 250522 501044 626305 1252610 2505220 5135701 10271402 20542804 25678505 51357010 102714020