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2013428560 = 2451113434093
BaseRepresentation
bin111100000000010…
…0111101101010000
312012022121202202011
41320000213231100
513110414203220
6531442432304
7100615601053
oct17000475520
95168552664
102013428560
11943589750
12482362694
13261199660
14151592a9a
15bbb6665a
hex78027b50

2013428560 has 160 divisors (see below), whose sum is σ = 5628889728. Its totient is φ = 659957760.

The previous prime is 2013428551. The next prime is 2013428563. The reversal of 2013428560 is 658243102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013428563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489874 + ... + 493966.

Almost surely, 22013428560 is an apocalyptic number.

2013428560 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 2013428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814444864).

2013428560 is an abundant number, since it is smaller than the sum of its proper divisors (3615461168).

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

2013428560 is a wasteful number, since it uses less digits than its factorization.

2013428560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4167 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2013428560 is about 44871.2442439476. The cubic root of 2013428560 is about 1262.7345832110.

It can be divided in two parts, 201342 and 8560, that added together give a palindrome (209902).

The spelling of 2013428560 in words is "two billion, thirteen million, four hundred twenty-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 43 44 52 55 65 80 86 88 104 110 130 143 172 176 208 215 220 260 286 344 430 440 473 520 559 572 688 715 860 880 946 1040 1118 1144 1430 1720 1892 2236 2288 2365 2795 2860 3440 3784 4093 4472 4730 5590 5720 6149 7568 8186 8944 9460 11180 11440 12298 16372 18920 20465 22360 24596 30745 32744 37840 40930 44720 45023 49192 53209 61490 65488 81860 90046 98384 106418 122980 163720 175999 180092 212836 225115 245960 266045 327440 351998 360184 425672 450230 491920 532090 585299 703996 720368 851344 879995 900460 1064180 1170598 1407992 1759990 1800920 1935989 2128360 2287987 2341196 2815984 2926495 3519980 3601840 3871978 4256720 4575974 4682392 5852990 7039960 7743956 9151948 9364784 9679945 11439935 11705980 14079920 15487912 18303896 19359890 22879870 23411960 25167857 30975824 36607792 38719780 45759740 46823920 50335714 77439560 91519480 100671428 125839285 154879120 183038960 201342856 251678570 402685712 503357140 1006714280 2013428560