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20513520 = 243359497
BaseRepresentation
bin100111001000…
…0001011110000
31102121012021000
41032100023300
520222413040
62011402000
7336235116
oct116201360
942535230
1020513520
1110641125
126a53300
1343330a1
142a1dab6
151c03130
hex13902f0

20513520 has 80 divisors (see below), whose sum is σ = 70665120. Its totient is φ = 5469696.

The previous prime is 20513513. The next prime is 20513531. The reversal of 20513520 is 2531502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20513493 and 20513502.

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, 2589 + ... + 6908.

It is an arithmetic number, because the mean of its divisors is an integer number (883314).

Almost surely, 220513520 is an apocalyptic number.

20513520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20513520 is an abundant number, since it is smaller than the sum of its proper divisors (50151600).

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

20513520 is a wasteful number, since it uses less digits than its factorization.

20513520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 20513520 is about 4529.1853572138. The cubic root of 20513520 is about 273.7453367567.

The spelling of 20513520 in words is "twenty million, five hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9497 18994 28491 37988 47485 56982 75976 85473 94970 113964 142455 151952 170946 189940 227928 256419 284910 341892 379880 427365 455856 512838 569820 683784 759760 854730 1025676 1139640 1282095 1367568 1709460 2051352 2279280 2564190 3418920 4102704 5128380 6837840 10256760 20513520