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20413536 = 25311131487
BaseRepresentation
bin100110111011…
…1110001100000
31102102010002220
41031313301200
520211213121
62005311040
7335340453
oct115676140
942363086
1020413536
1110582aa0
126a05480
1342c9720
1429d549a
151bd36c6
hex1377c60

20413536 has 96 divisors (see below), whose sum is σ = 62995968. Its totient is φ = 5706240.

The previous prime is 20413511. The next prime is 20413537. The reversal of 20413536 is 63531402.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20413537) 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 15 ways as a sum of consecutive naturals, for example, 12985 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (656208).

Almost surely, 220413536 is an apocalyptic number.

20413536 is a gapful number since it is divisible by the number (26) 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 20413536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31497984).

20413536 is an abundant number, since it is smaller than the sum of its proper divisors (42582432).

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

20413536 is a wasteful number, since it uses less digits than its factorization.

20413536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 20413536 is about 4518.1341281551. The cubic root of 20413536 is about 273.2998623831.

Adding to 20413536 its reverse (63531402), we get a palindrome (83944938).

The spelling of 20413536 in words is "twenty million, four hundred thirteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1487 1716 2288 2974 3432 4461 4576 5948 6864 8922 11896 13728 16357 17844 19331 23792 32714 35688 38662 47584 49071 57993 65428 71376 77324 98142 115986 130856 142752 154648 196284 212641 231972 261712 309296 392568 425282 463944 523424 618592 637923 785136 850564 927888 1275846 1570272 1701128 1855776 2551692 3402256 5103384 6804512 10206768 20413536