Search a number
-
+
13004012520 = 23325137326309
BaseRepresentation
bin11000001110001100…
…10111101111101000
31020120021100021121100
430013012113233220
5203113011400040
65550213041400
7640152165642
oct140706275750
936507307540
1013004012520
115573476094
12262b026260
1312c3178185
148b50d1892
15511995b30
hex307197be8

13004012520 has 96 divisors (see below), whose sum is σ = 42295429800. Its totient is φ = 3465079296.

The previous prime is 13004012519. The next prime is 13004012537. The reversal of 13004012520 is 2521040031.

13004012520 is a `hidden beast` number, since 13 + 0 + 0 + 401 + 252 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11274617124 + 1729395396 = 106182^2 + 41586^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13004012493 and 13004012502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481126 + ... + 507434.

Almost surely, 213004012520 is an apocalyptic number.

13004012520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13004012520 is an abundant number, since it is smaller than the sum of its proper divisors (29291417280).

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

13004012520 is a wasteful number, since it uses less digits than its factorization.

13004012520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27699 (or 27692 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13004012520 its reverse (2521040031), we get a palindrome (15525052551).

The spelling of 13004012520 in words is "thirteen billion, four million, twelve thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1373 2746 4119 5492 6865 8238 10984 12357 13730 16476 20595 24714 26309 27460 32952 41190 49428 52618 54920 61785 78927 82380 98856 105236 123570 131545 157854 164760 210472 236781 247140 263090 315708 394635 473562 494280 526180 631416 789270 947124 1052360 1183905 1578540 1894248 2367810 3157080 4735620 9471240 36122257 72244514 108366771 144489028 180611285 216733542 288978056 325100313 361222570 433467084 541833855 650200626 722445140 866934168 1083667710 1300401252 1444890280 1625501565 2167335420 2600802504 3251003130 4334670840 6502006260 13004012520