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20331520 = 210511192
BaseRepresentation
bin100110110001…
…1110000000000
31102020221121021
41031203300000
520201102040
62003435224
7334546366
oct115436000
942227537
1020331520
1110527410
126985b14
13429b2b1
1429b3636
151bb924a
hex1363c00

20331520 has 132 divisors (see below), whose sum is σ = 56153304. Its totient is φ = 7004160.

The previous prime is 20331503. The next prime is 20331533. The reversal of 20331520 is 2513302.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 20331494 and 20331503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1070071 + ... + 1070089.

Almost surely, 220331520 is an apocalyptic number.

20331520 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 20331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28076652).

20331520 is an abundant number, since it is smaller than the sum of its proper divisors (35821784).

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

20331520 is a wasteful number, since it uses less digits than its factorization.

20331520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 20331520 is about 4509.0486801542. The cubic root of 20331520 is about 272.9333564242.

Adding to 20331520 its reverse (2513302), we get a palindrome (22844822).

It can be divided in two parts, 2033 and 1520, that added together give a palindrome (3553).

The spelling of 20331520 in words is "twenty million, three hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 128 152 160 176 190 209 220 256 304 320 352 361 380 418 440 512 608 640 704 722 760 836 880 1024 1045 1216 1280 1408 1444 1520 1672 1760 1805 2090 2432 2560 2816 2888 3040 3344 3520 3610 3971 4180 4864 5120 5632 5776 6080 6688 7040 7220 7942 8360 9728 11264 11552 12160 13376 14080 14440 15884 16720 19456 19855 23104 24320 26752 28160 28880 31768 33440 39710 46208 48640 53504 56320 57760 63536 66880 79420 92416 97280 107008 115520 127072 133760 158840 184832 214016 231040 254144 267520 317680 369664 462080 508288 535040 635360 924160 1016576 1070080 1270720 1848320 2033152 2541440 4066304 5082880 10165760 20331520