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103993776 = 24326111839
BaseRepresentation
bin1100011001011…
…01000110110000
321020200102122100
412030231012300
5203110300101
614152540400
72401634565
oct614550660
9236612570
10103993776
115377a077
122a9b1700
13187115a3
14db5086c
1591e2e86
hex632d1b0

103993776 has 60 divisors (see below), whose sum is σ = 295834240. Its totient is φ = 34093440.

The previous prime is 103993759. The next prime is 103993781. The reversal of 103993776 is 677399301.

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, 2865 + ... + 14703.

Almost surely, 2103993776 is an apocalyptic number.

103993776 is a gapful number since it is divisible by the number (16) 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 103993776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147917120).

103993776 is an abundant number, since it is smaller than the sum of its proper divisors (191840464).

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

103993776 is a wasteful number, since it uses less digits than its factorization.

103993776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11914 (or 11905 counting only the distinct ones).

The product of its (nonzero) digits is 214326, while the sum is 45.

The square root of 103993776 is about 10197.7338659135. The cubic root of 103993776 is about 470.2575561345.

The spelling of 103993776 in words is "one hundred three million, nine hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 11839 23678 35517 47356 71034 94712 106551 142068 189424 213102 284136 426204 568272 722179 852408 1444358 1704816 2166537 2888716 4333074 5777432 6499611 8666148 11554864 12999222 17332296 25998444 34664592 51996888 103993776