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2710075140 = 2232575719889
BaseRepresentation
bin1010000110001000…
…0111011100000100
320222212111002012100
42201202013130010
521022234401030
61124530152100
7124105154463
oct24142073404
96885432170
102710075140
111170848623
12637722630
13342603576
141b9cd69da
1510cdc5360
hexa1887704

2710075140 has 72 divisors (see below), whose sum is σ = 8231834520. Its totient is φ = 721695744.

The previous prime is 2710075099. The next prime is 2710075153. The reversal of 2710075140 is 415700172.

It can be written as a sum of positive squares in 4 ways, for example, as 1000583424 + 1709491716 = 31632^2 + 41346^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126316 + ... + 146204.

It is an arithmetic number, because the mean of its divisors is an integer number (114331035).

Almost surely, 22710075140 is an apocalyptic number.

2710075140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2710075140 is an abundant number, since it is smaller than the sum of its proper divisors (5521759380).

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

2710075140 is a wasteful number, since it uses less digits than its factorization.

2710075140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20661 (or 20656 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2710075140 is about 52058.3820340202. The cubic root of 2710075140 is about 1394.2065245153.

The spelling of 2710075140 in words is "two billion, seven hundred ten million, seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 757 1514 2271 3028 3785 4542 6813 7570 9084 11355 13626 15140 19889 22710 27252 34065 39778 45420 59667 68130 79556 99445 119334 136260 179001 198890 238668 298335 358002 397780 596670 716004 895005 1193340 1790010 3580020 15055973 30111946 45167919 60223892 75279865 90335838 135503757 150559730 180671676 225839595 271007514 301119460 451679190 542015028 677518785 903358380 1355037570 2710075140