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1052830560 = 25353759281
BaseRepresentation
bin111110110000001…
…110101101100000
32201101002100000110
4332300032231200
54124011034220
6252245451320
735042624565
oct7660165540
92641070013
101052830560
114a0328201
12254710b40
1313a176a82
149db8086c
1562669be0
hex3ec0eb60

1052830560 has 96 divisors (see below), whose sum is σ = 3406106592. Its totient is φ = 273162240.

The previous prime is 1052830549. The next prime is 1052830577. The reversal of 1052830560 is 650382501.

1052830560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10528305602 = 2216904376139827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11881 + ... + 47400.

It is an arithmetic number, because the mean of its divisors is an integer number (35480277).

Almost surely, 21052830560 is an apocalyptic number.

1052830560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052830560 is an abundant number, since it is smaller than the sum of its proper divisors (2353276032).

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

1052830560 is a wasteful number, since it uses less digits than its factorization.

1052830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59336 (or 59328 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1052830560 is about 32447.3505852173. The cubic root of 1052830560 is about 1017.3088614237.

The spelling of 1052830560 in words is "one billion, fifty-two million, eight hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 59281 118562 177843 237124 296405 355686 474248 592810 711372 889215 948496 1185620 1422744 1778430 1896992 2193397 2371240 2845488 3556860 4386794 4742480 5690976 6580191 7113720 8773588 9484960 10966985 13160382 14227440 17547176 21933970 26320764 28454880 32900955 35094352 43867940 52641528 65801910 70188704 87735880 105283056 131603820 175471760 210566112 263207640 350943520 526415280 1052830560