Search a number
-
+
1313929512 = 23347241381
BaseRepresentation
bin100111001010000…
…1111100100101000
310101120101112110000
41032110033210220
510142331221022
6334214023000
744363134200
oct11624174450
93346345400
101313929512
11614751765
12308047a60
1317c2a42ac
14c6709400
157a5426ac
hex4e50f928

1313929512 has 120 divisors (see below), whose sum is σ = 4281174810. Its totient is φ = 375399360.

The previous prime is 1313929511. The next prime is 1313929537. The reversal of 1313929512 is 2159293131.

1313929512 is a `hidden beast` number, since 1 + 3 + 139 + 2 + 9 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1081488996 + 232440516 = 32886^2 + 15246^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1313929511) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11062 + ... + 52442.

Almost surely, 21313929512 is an apocalyptic number.

1313929512 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 1313929512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140587405).

1313929512 is an abundant number, since it is smaller than the sum of its proper divisors (2967245298).

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

1313929512 is a wasteful number, since it uses less digits than its factorization.

1313929512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41413 (or 41393 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 1313929512 is about 36248.1656363463. The cubic root of 1313929512 is about 1095.2771375836.

The spelling of 1313929512 in words is "one billion, three hundred thirteen million, nine hundred twenty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 7938 10584 15876 31752 41381 82762 124143 165524 248286 289667 331048 372429 496572 579334 744858 869001 993144 1117287 1158668 1489716 1738002 2027669 2234574 2317336 2607003 2979432 3351861 3476004 4055338 4469148 5214006 6083007 6703722 6952008 7821009 8110676 8938296 10428012 12166014 13407444 15642018 16221352 18249021 20856024 23463027 24332028 26814888 31284036 36498042 46926054 48664056 54747063 62568072 72996084 93852108 109494126 145992168 164241189 187704216 218988252 328482378 437976504 656964756 1313929512