Search a number
-
+
13302908640 = 2537575431
BaseRepresentation
bin11000110001110101…
…00100011011100000
31021100002202210000000
430120322210123200
5204221021034030
610040011300000
7650441600130
oct143072443340
937302683000
1013302908640
11570716617a
1226b314a600
13134007a698
14902a98ac0
1552cd37860
hex318ea46e0

13302908640 has 384 divisors, whose sum is σ = 53878487040. Its totient is φ = 3040104960.

The previous prime is 13302908639. The next prime is 13302908687. The reversal of 13302908640 is 4680920331.

13302908640 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 9 + 0 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13302908595 and 13302908604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2446725 + ... + 2452155.

It is an arithmetic number, because the mean of its divisors is an integer number (140308560).

Almost surely, 213302908640 is an apocalyptic number.

13302908640 is a gapful number since it is divisible by the number (10) 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 13302908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26939243520).

13302908640 is an abundant number, since it is smaller than the sum of its proper divisors (40575578400).

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

13302908640 is an frugal number, since it uses more digits than its factorization.

13302908640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5474 (or 5448 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13302908640 in words is "thirteen billion, three hundred two million, nine hundred eight thousand, six hundred forty".