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2057072680 = 235133955909
BaseRepresentation
bin111101010011100…
…0111000000101000
312022100202010020001
41322213013000220
513203102311210
6540042112344
7101655554305
oct17247070050
95270663201
102057072680
11966189173
12494aab6b4
1326a23aa90
141572b40ac
15c08d803a
hex7a9c7028

2057072680 has 32 divisors (see below), whose sum is σ = 4984446600. Its totient is φ = 759534336.

The previous prime is 2057072653. The next prime is 2057072687. The reversal of 2057072680 is 862707502.

It can be written as a sum of positive squares in 4 ways, for example, as 1397712996 + 659359684 = 37386^2 + 25678^2 .

It is not an unprimeable number, because it can be changed into a prime (2057072687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1977435 + ... + 1978474.

Almost surely, 22057072680 is an apocalyptic number.

2057072680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2057072680 is an abundant number, since it is smaller than the sum of its proper divisors (2927373920).

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

2057072680 is a wasteful number, since it uses less digits than its factorization.

2057072680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3955933 (or 3955929 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 2057072680 is about 45354.9631242271. The cubic root of 2057072680 is about 1271.7933372702.

The spelling of 2057072680 in words is "two billion, fifty-seven million, seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 3955909 7911818 15823636 19779545 31647272 39559090 51426817 79118180 102853634 158236360 205707268 257134085 411414536 514268170 1028536340 2057072680