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102369800 = 23521339373
BaseRepresentation
bin1100001101000…
…00101000001000
321010121220222002
412012200220020
5202201313200
614054050132
72352062141
oct606405010
9233556862
10102369800
115286aa45
122a349948
1318293360
14d84aac8
158ec1bd5
hex61a0a08

102369800 has 48 divisors (see below), whose sum is σ = 256324740. Its totient is φ = 37797120.

The previous prime is 102369791. The next prime is 102369821. The reversal of 102369800 is 8963201.

It can be written as a sum of positive squares in 6 ways, for example, as 50154724 + 52215076 = 7082^2 + 7226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17087 + ... + 22286.

Almost surely, 2102369800 is an apocalyptic number.

102369800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102369800 is an abundant number, since it is smaller than the sum of its proper divisors (153954940).

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

102369800 is a wasteful number, since it uses less digits than its factorization.

102369800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39402 (or 39393 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 102369800 is about 10117.7962027311. The cubic root of 102369800 is about 467.7968412296.

The spelling of 102369800 in words is "one hundred two million, three hundred sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 39373 78746 157492 196865 314984 393730 511849 787460 984325 1023698 1574920 1968650 2047396 2559245 3937300 4094792 5118490 7874600 10236980 12796225 20473960 25592450 51184900 102369800