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102902112 = 2532431829
BaseRepresentation
bin1100010001000…
…10100101100000
321011121222011100
412020202211200
5202320331422
614113314400
72356440105
oct610424540
9234558140
10102902112
11530a3975
122a565a00
131841b731
14d948aac
1590797ac
hex6222960

102902112 has 72 divisors (see below), whose sum is σ = 293660640. Its totient is φ = 34179840.

The previous prime is 102902101. The next prime is 102902123. The reversal of 102902112 is 211209201.

It is an interprime number because it is at equal distance from previous prime (102902101) and next prime (102902123).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 123714 + ... + 124542.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2102902112 is an apocalyptic number.

102902112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102902112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146830320).

102902112 is an abundant number, since it is smaller than the sum of its proper divisors (190758528).

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

102902112 is a wasteful number, since it uses less digits than its factorization.

102902112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 102902112 is about 10144.0678231171. The cubic root of 102902112 is about 468.6062710274.

The spelling of 102902112 in words is "one hundred two million, nine hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 431 829 862 1293 1658 1724 2487 2586 3316 3448 3879 4974 5172 6632 6896 7461 7758 9948 10344 13264 13792 14922 15516 19896 20688 26528 29844 31032 39792 41376 59688 62064 79584 119376 124128 238752 357299 714598 1071897 1429196 2143794 2858392 3215691 4287588 5716784 6431382 8575176 11433568 12862764 17150352 25725528 34300704 51451056 102902112