Search a number
-
+
13007070600 = 23352171275203
BaseRepresentation
bin11000001110100100…
…00010010110001000
31020120111002122111120
430013102002112020
5203114302224400
65550402355240
7640220163426
oct140722022610
936514078446
1013007070600
115575174727
12263005bb20
1312c39a90a4
148b568a116
15511d9bca0
hex307482588

13007070600 has 96 divisors (see below), whose sum is σ = 42693829920. Its totient is φ = 3264517120.

The previous prime is 13007070599. The next prime is 13007070623. The reversal of 13007070600 is 607070031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 627402 + ... + 647801.

It is an arithmetic number, because the mean of its divisors is an integer number (444727395).

Almost surely, 213007070600 is an apocalyptic number.

13007070600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13007070600 is an abundant number, since it is smaller than the sum of its proper divisors (29686759320).

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

13007070600 is a wasteful number, since it uses less digits than its factorization.

13007070600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275239 (or 1275230 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 13007070600 in words is "thirteen billion, seven million, seventy thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 300 340 408 425 510 600 680 850 1020 1275 1700 2040 2550 3400 5100 10200 1275203 2550406 3825609 5100812 6376015 7651218 10201624 12752030 15302436 19128045 21678451 25504060 30604872 31880075 38256090 43356902 51008120 63760150 65035353 76512180 86713804 95640225 108392255 127520300 130070706 153024360 173427608 191280450 216784510 255040600 260141412 325176765 382560900 433569020 520282824 541961275 650353530 765121800 867138040 1083922550 1300707060 1625883825 2167845100 2601414120 3251767650 4335690200 6503535300 13007070600