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102831948 = 223226310861
BaseRepresentation
bin1100010000100…
…01011101001100
321011111101220200
412020101131030
5202311110243
614112013500
72356025412
oct610213514
9234441820
10102831948
115305618a
122a531290
13183c580b
14d92b2b2
159063ad3
hex621174c

102831948 has 36 divisors (see below), whose sum is σ = 260948688. Its totient is φ = 34143840.

The previous prime is 102831907. The next prime is 102831959. The reversal of 102831948 is 849138201.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4038 + ... + 14898.

Almost surely, 2102831948 is an apocalyptic number.

102831948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102831948 is an abundant number, since it is smaller than the sum of its proper divisors (158116740).

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

102831948 is a wasteful number, since it uses less digits than its factorization.

102831948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11129 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 102831948 is about 10140.6088574602. The cubic root of 102831948 is about 468.4997401198.

The spelling of 102831948 in words is "one hundred two million, eight hundred thirty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 263 526 789 1052 1578 2367 3156 4734 9468 10861 21722 32583 43444 65166 97749 130332 195498 390996 2856443 5712886 8569329 11425772 17138658 25707987 34277316 51415974 102831948