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2656004260 = 2257137319991
BaseRepresentation
bin1001111001001111…
…0110100010100100
320212002201222220011
42132103312202210
520414414114020
61115315220004
7122550443440
oct23623664244
96762658804
102656004260
111143277348
126215a7604
13334351270
141b2a5d820
1510829435a
hex9e4f68a4

2656004260 has 96 divisors (see below), whose sum is σ = 6959135232. Its totient is φ = 829025280.

The previous prime is 2656004257. The next prime is 2656004287. The reversal of 2656004260 is 624006562.

2656004260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122865 + ... + 142855.

It is an arithmetic number, because the mean of its divisors is an integer number (72490992).

Almost surely, 22656004260 is an apocalyptic number.

2656004260 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 2656004260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479567616).

2656004260 is an abundant number, since it is smaller than the sum of its proper divisors (4303130972).

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

2656004260 is a wasteful number, since it uses less digits than its factorization.

2656004260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20093 (or 20091 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 2656004260 is about 51536.4362368994. The cubic root of 2656004260 is about 1384.8718549305.

The spelling of 2656004260 in words is "two billion, six hundred fifty-six million, four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 73 91 130 140 146 182 260 292 364 365 455 511 730 910 949 1022 1460 1820 1898 2044 2555 3796 4745 5110 6643 9490 10220 13286 18980 19991 26572 33215 39982 66430 79964 99955 132860 139937 199910 259883 279874 399820 519766 559748 699685 1039532 1299415 1399370 1459343 1819181 2598830 2798740 2918686 3638362 5197660 5837372 7276724 7296715 9095905 10215401 14593430 18191810 18971459 20430802 29186860 36383620 37942918 40861604 51077005 75885836 94857295 102154010 132800213 189714590 204308020 265600426 379429180 531200852 664001065 1328002130 2656004260