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1307062896 = 243192336151
BaseRepresentation
bin100110111101000…
…0011001001110000
310101002110200012220
41031322003021300
510134102003041
6333410521040
744250564666
oct11572031160
93332420186
101307062896
11610891777
12305896180
1317aa3b9c9
14c583cc36
1579b37d66
hex4de83270

1307062896 has 80 divisors (see below), whose sum is σ = 3570128640. Its totient is φ = 410918400.

The previous prime is 1307062891. The next prime is 1307062907. The reversal of 1307062896 is 6982607031.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307062891) 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, 209421 + ... + 215571.

It is an arithmetic number, because the mean of its divisors is an integer number (44626608).

Almost surely, 21307062896 is an apocalyptic number.

1307062896 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 1307062896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785064320).

1307062896 is an abundant number, since it is smaller than the sum of its proper divisors (2263065744).

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

1307062896 is a wasteful number, since it uses less digits than its factorization.

1307062896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6414 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1307062896 is about 36153.3248263559. The cubic root of 1307062896 is about 1093.3658257579.

The spelling of 1307062896 in words is "one billion, three hundred seven million, sixty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 233 304 456 466 699 912 932 1398 1864 2796 3728 4427 5592 6151 8854 11184 12302 13281 17708 18453 24604 26562 35416 36906 49208 53124 70832 73812 98416 106248 116869 147624 212496 233738 295248 350607 467476 701214 934952 1402428 1433183 1869904 2804856 2866366 4299549 5609712 5732732 8599098 11465464 17198196 22930928 27230477 34396392 54460954 68792784 81691431 108921908 163382862 217843816 326765724 435687632 653531448 1307062896