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1308076992 = 26333124419
BaseRepresentation
bin100110111110111…
…1010101111000000
310101011101012022000
41031331322233000
510134331430432
6333444344000
744262320355
oct11575725700
93334335260
101308076992
11611414672
123060a5000
1317b005471
14c5a2462c
1579c8857c
hex4df7abc0

1308076992 has 112 divisors (see below), whose sum is σ = 3969715200. Its totient is φ = 421943040.

The previous prime is 1308076981. The next prime is 1308077003. The reversal of 1308076992 is 2996708031.

It is an interprime number because it is at equal distance from previous prime (1308076981) and next prime (1308077003).

It is a super-2 number, since 2×13080769922 = 3422130833999536128, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41359 + ... + 65777.

Almost surely, 21308076992 is an apocalyptic number.

1308076992 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 1308076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984857600).

1308076992 is an abundant number, since it is smaller than the sum of its proper divisors (2661638208).

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

1308076992 is a wasteful number, since it uses less digits than its factorization.

1308076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24471 (or 24455 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1308076992 is about 36167.3470412194. The cubic root of 1308076992 is about 1093.6485184234.

The spelling of 1308076992 in words is "one billion, three hundred eight million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 24419 26784 48838 53568 73257 97676 146514 195352 219771 293028 390704 439542 586056 659313 756989 781408 879084 1172112 1318626 1513978 1562816 1758168 2270967 2344224 2637252 3027956 3516336 4541934 4688448 5274504 6055912 6812901 7032672 9083868 10549008 12111824 13625802 14065344 18167736 20438703 21098016 24223648 27251604 36335472 40877406 42196032 48447296 54503208 72670944 81754812 109006416 145341888 163509624 218012832 327019248 436025664 654038496 1308076992