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102279852 = 223213272141
BaseRepresentation
bin1100001100010…
…10101010101100
321010110100120200
412012022222230
5202140423402
614052113500
72351235663
oct606125254
9233410520
10102279852
1152809404
122a305890
131826142c
14d825dda
158ea521c
hex618aaac

102279852 has 36 divisors (see below), whose sum is σ = 258856416. Its totient is φ = 34051680.

The previous prime is 102279851. The next prime is 102279889. The reversal of 102279852 is 258972201.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1022798522 = 20922336250283808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102279851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46702 + ... + 48842.

It is an arithmetic number, because the mean of its divisors is an integer number (7190456).

Almost surely, 2102279852 is an apocalyptic number.

102279852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102279852 is an abundant number, since it is smaller than the sum of its proper divisors (156576564).

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

102279852 is a wasteful number, since it uses less digits than its factorization.

102279852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 102279852 is about 10113.3501867581. The cubic root of 102279852 is about 467.6597900024.

The spelling of 102279852 in words is "one hundred two million, two hundred seventy-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1327 2141 2654 3981 4282 5308 6423 7962 8564 11943 12846 15924 19269 23886 25692 38538 47772 77076 2841107 5682214 8523321 11364428 17046642 25569963 34093284 51139926 102279852