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1309440496 = 247133167433
BaseRepresentation
bin100111000001100…
…0111100111110000
310101020221110200011
41032003013213300
510140204043441
6333533504304
744310026530
oct11603074760
93336843604
101309440496
11612166031
12306642094
1317b391c80
14c5c9b4c0
1579e57581
hex4e0c79f0

1309440496 has 160 divisors (see below), whose sum is σ = 3278901248. Its totient is φ = 492687360.

The previous prime is 1309440481. The next prime is 1309440511. The reversal of 1309440496 is 6940449031.

It is an interprime number because it is at equal distance from previous prime (1309440481) and next prime (1309440511).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3023896 + ... + 3024328.

Almost surely, 21309440496 is an apocalyptic number.

1309440496 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 1309440496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639450624).

1309440496 is an abundant number, since it is smaller than the sum of its proper divisors (1969460752).

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

1309440496 is a wasteful number, since it uses less digits than its factorization.

1309440496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 1309440496 is about 36186.1920627192. The cubic root of 1309440496 is about 1094.0283829909.

The spelling of 1309440496 in words is "one billion, three hundred nine million, four hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 67 91 104 112 124 134 182 208 217 248 268 364 403 433 434 469 496 536 728 806 866 868 871 938 1072 1456 1612 1732 1736 1742 1876 2077 2821 3031 3224 3464 3472 3484 3752 4154 5629 5642 6062 6097 6448 6928 6968 7504 8308 11258 11284 12124 12194 13423 13936 14539 16616 22516 22568 24248 24388 26846 27001 29011 29078 33232 39403 45032 45136 48496 48776 53692 54002 58022 58156 78806 90064 93961 97552 107384 108004 116044 116312 157612 174499 187922 189007 203077 214768 216008 232088 232624 315224 348998 375844 377143 378014 406154 432016 464176 630448 697996 751688 754286 756028 812308 899341 1221493 1395992 1503376 1508572 1512056 1624616 1798682 2442986 2640001 2791984 3017144 3024112 3249232 3597364 4885972 5280002 6034288 6295387 7194728 9771944 10560004 11691433 12590774 14389456 19543888 21120008 23382866 25181548 42240016 46765732 50363096 81840031 93531464 100726192 163680062 187062928 327360124 654720248 1309440496