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20193012 = 22327227353
BaseRepresentation
bin100110100000…
…1111011110100
31101222220121100
41031001323310
520132134022
62000450100
7333431520
oct115017364
941886540
1020193012
1110442344
126919930
134250238
142978d80
151b8d1ac
hex1341ef4

20193012 has 72 divisors (see below), whose sum is σ = 58758336. Its totient is φ = 5727744.

The previous prime is 20193007. The next prime is 20193037. The reversal of 20193012 is 21039102.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 57028 + ... + 57380.

It is an arithmetic number, because the mean of its divisors is an integer number (816088).

Almost surely, 220193012 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 20193012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29379168).

20193012 is an abundant number, since it is smaller than the sum of its proper divisors (38565324).

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

20193012 is a wasteful number, since it uses less digits than its factorization.

20193012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 20193012 is about 4493.6635388066. The cubic root of 20193012 is about 272.3121596362.

The spelling of 20193012 in words is "twenty million, one hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 227 252 353 454 681 706 908 1059 1362 1412 1589 2043 2118 2471 2724 3177 3178 4086 4236 4767 4942 6354 6356 7413 8172 9534 9884 12708 14301 14826 19068 22239 28602 29652 44478 57204 80131 88956 160262 240393 320524 480786 560917 721179 961572 1121834 1442358 1682751 2243668 2884716 3365502 5048253 6731004 10096506 20193012