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2604139240 = 2351911330323
BaseRepresentation
bin1001101100111000…
…0000001011101000
320201111010222110111
42123032000023220
520313124423430
61110223424104
7121350550453
oct23316001350
96644128414
102604139240
111116a7239a
12608155034
13326691cc1
141a9bdc49a
1510394bc2a
hex9b3802e8

2604139240 has 64 divisors (see below), whose sum is σ = 6222484800. Its totient is φ = 978066432.

The previous prime is 2604139163. The next prime is 2604139243. The reversal of 2604139240 is 429314062.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2604139243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70719 + ... + 101041.

It is an arithmetic number, because the mean of its divisors is an integer number (97226325).

Almost surely, 22604139240 is an apocalyptic number.

2604139240 is a gapful number since it is divisible by the number (20) 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 2604139240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111242400).

2604139240 is an abundant number, since it is smaller than the sum of its proper divisors (3618345560).

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

2604139240 is a wasteful number, since it uses less digits than its factorization.

2604139240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30466 (or 30462 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 2604139240 is about 51030.7675819206. The cubic root of 2604139240 is about 1375.7981904434.

The spelling of 2604139240 in words is "two billion, six hundred four million, one hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1130 2147 2260 4294 4520 8588 10735 17176 21470 30323 42940 60646 85880 121292 151615 242584 303230 576137 606460 1152274 1212920 2304548 2880685 3426499 4609096 5761370 6852998 11522740 13705996 17132495 23045480 27411992 34264990 65103481 68529980 130206962 137059960 260413924 325517405 520827848 651034810 1302069620 2604139240