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103244832 = 25322111699
BaseRepresentation
bin1100010011101…
…10010000100000
321012021101021200
412021312100200
5202412313312
614124521200
72362365225
oct611662040
9235241250
10103244832
1153308409
122a6b0200
131850b722
14d9d794c
1590e60dc
hex6276420

103244832 has 72 divisors (see below), whose sum is σ = 295167600. Its totient is φ = 34231680.

The previous prime is 103244809. The next prime is 103244857. The reversal of 103244832 is 238442301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103244796 and 103244805.

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, 59919 + ... + 61617.

It is an arithmetic number, because the mean of its divisors is an integer number (4099550).

Almost surely, 2103244832 is an apocalyptic number.

103244832 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 103244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147583800).

103244832 is an abundant number, since it is smaller than the sum of its proper divisors (191922768).

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

103244832 is a wasteful number, since it uses less digits than its factorization.

103244832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 103244832 is about 10160.9464126133. The cubic root of 103244832 is about 469.1259324523.

The spelling of 103244832 in words is "one hundred three million, two hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 1266 1688 1699 1899 2532 3376 3398 3798 5064 5097 6752 6796 7596 10128 10194 13592 15192 15291 20256 20388 27184 30384 30582 40776 54368 60768 61164 81552 122328 163104 244656 358489 489312 716978 1075467 1433956 2150934 2867912 3226401 4301868 5735824 6452802 8603736 11471648 12905604 17207472 25811208 34414944 51622416 103244832