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20019552 = 2537313
BaseRepresentation
bin100110001011…
…1100101100000
31101200002122220
41030113211200
520111111202
61553031040
7332110020
oct114274540
941602586
1020019552
1110333a93
126855480
1341bc2b7
142931a80
151b56abc
hex1317960

20019552 has 96 divisors (see below), whose sum is σ = 62060544. Its totient is φ = 5535360.

The previous prime is 20019547. The next prime is 20019577. The reversal of 20019552 is 25591002.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645777 + ... + 645807.

It is an arithmetic number, because the mean of its divisors is an integer number (646464).

Almost surely, 220019552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20019552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31030272).

20019552 is an abundant number, since it is smaller than the sum of its proper divisors (42040992).

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

20019552 is an frugal number, since it uses more digits than its factorization.

20019552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 20019552 is about 4474.3214010618. The cubic root of 20019552 is about 271.5301866730.

The spelling of 20019552 in words is "twenty million, nineteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 961 992 1302 1488 1736 1922 2604 2883 2976 3472 3844 5208 5766 6727 6944 7688 10416 11532 13454 15376 20181 20832 23064 26908 29791 30752 40362 46128 53816 59582 80724 89373 92256 107632 119164 161448 178746 208537 215264 238328 322896 357492 417074 476656 625611 645792 714984 834148 953312 1251222 1429968 1668296 2502444 2859936 3336592 5004888 6673184 10009776 20019552