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2053160520 = 2335192273967
BaseRepresentation
bin111101001100000…
…1011111001001000
312022002101100202020
41322120023321020
513201102114040
6535422204440
7101610401505
oct17230137110
95262340666
102053160520
11963a56984
12493723720
1326949b1a8
141569764ac
15c03b3cd0
hex7a60be48

2053160520 has 128 divisors (see below), whose sum is σ = 6513868800. Its totient is φ = 516278016.

The previous prime is 2053160519. The next prime is 2053160563. The reversal of 2053160520 is 250613502.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 515577 + ... + 519543.

It is an arithmetic number, because the mean of its divisors is an integer number (50889600).

Almost surely, 22053160520 is an apocalyptic number.

2053160520 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 2053160520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256934400).

2053160520 is an abundant number, since it is smaller than the sum of its proper divisors (4460708280).

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

2053160520 is a wasteful number, since it uses less digits than its factorization.

2053160520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4227 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2053160520 is about 45311.8143534333. The cubic root of 2053160520 is about 1270.9865894853.

The spelling of 2053160520 in words is "two billion, fifty-three million, one hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 227 228 285 380 454 456 570 681 760 908 1135 1140 1362 1816 2270 2280 2724 3405 3967 4313 4540 5448 6810 7934 8626 9080 11901 12939 13620 15868 17252 19835 21565 23802 25878 27240 31736 34504 39670 43130 47604 51756 59505 64695 75373 79340 86260 95208 103512 119010 129390 150746 158680 172520 226119 238020 258780 301492 376865 452238 476040 517560 602984 753730 900509 904476 1130595 1507460 1801018 1808952 2261190 2701527 3014920 3602036 4502545 4522380 5403054 7204072 9005090 9044760 10806108 13507635 17109671 18010180 21612216 27015270 34219342 36020360 51329013 54030540 68438684 85548355 102658026 108061080 136877368 171096710 205316052 256645065 342193420 410632104 513290130 684386840 1026580260 2053160520