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123796992 = 2931117431
BaseRepresentation
bin1110110000011…
…11111000000000
322121221112112210
413120033320000
5223143000432
620141222120
73032154114
oct730177000
9277845483
10123796992
1163975570
1235561940
131c856277
1412627744
15ad058cc
hex760fe00

123796992 has 160 divisors (see below), whose sum is σ = 381832704. Its totient is φ = 35225600.

The previous prime is 123796991. The next prime is 123796997. The reversal of 123796992 is 299697321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123796991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287017 + ... + 287447.

Almost surely, 2123796992 is an apocalyptic number.

123796992 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 123796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

123796992 is an abundant number, since it is smaller than the sum of its proper divisors (258035712).

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

123796992 is a wasteful number, since it uses less digits than its factorization.

123796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 367416, while the sum is 48.

The square root of 123796992 is about 11126.4096634988. The cubic root of 123796992 is about 498.3908159426.

The spelling of 123796992 in words is "one hundred twenty-three million, seven hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 431 512 528 544 561 704 748 768 816 862 1056 1088 1122 1293 1408 1496 1536 1632 1724 2112 2176 2244 2586 2816 2992 3264 3448 4224 4352 4488 4741 5172 5632 5984 6528 6896 7327 8448 8704 8976 9482 10344 11968 13056 13792 14223 14654 16896 17952 18964 20688 21981 23936 26112 27584 28446 29308 35904 37928 41376 43962 47872 55168 56892 58616 71808 75856 80597 82752 87924 95744 110336 113784 117232 143616 151712 161194 165504 175848 220672 227568 234464 241791 287232 303424 322388 331008 351696 455136 468928 483582 606848 644776 662016 703392 910272 937856 967164 1213696 1289552 1406784 1820544 1875712 1934328 2427392 2579104 2813568 3641088 3751424 3868656 5158208 5627136 7282176 7737312 10316416 11254272 15474624 20632832 30949248 41265664 61898496 123796992