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2566405140 = 2235133290263
BaseRepresentation
bin1001100011111000…
…0011110000010100
320121212010220000020
42120332003300110
520223444431030
61102354545140
7120412040505
oct23076036024
96555126006
102566405140
1110a773a192
125b75981b0
1331b90c930
141a4bb8bac
15100496510
hex98f83c14

2566405140 has 48 divisors (see below), whose sum is σ = 7738700928. Its totient is φ = 631730304.

The previous prime is 2566405133. The next prime is 2566405147. The reversal of 2566405140 is 415046652.

It is an interprime number because it is at equal distance from previous prime (2566405133) and next prime (2566405147).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2566405147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644352 + ... + 1645911.

It is an arithmetic number, because the mean of its divisors is an integer number (161222936).

Almost surely, 22566405140 is an apocalyptic number.

2566405140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2566405140 is an abundant number, since it is smaller than the sum of its proper divisors (5172295788).

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

2566405140 is a wasteful number, since it uses less digits than its factorization.

2566405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290288 (or 3290286 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2566405140 is about 50659.6993674459. The cubic root of 2566405140 is about 1369.1207066627.

The spelling of 2566405140 in words is "two billion, five hundred sixty-six million, four hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 3290263 6580526 9870789 13161052 16451315 19741578 32902630 39483156 42773419 49353945 65805260 85546838 98707890 128320257 171093676 197415780 213867095 256640514 427734190 513281028 641601285 855468380 1283202570 2566405140