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20089764 = 223219231277
BaseRepresentation
bin100110010100…
…0101110100100
31101210122222100
41030220232210
520120333024
61554332100
7332521512
oct114505644
941718870
1020089764
1110381812
12688a030
134215246
14294d4b2
151b6c7c9
hex1328ba4

20089764 has 72 divisors (see below), whose sum is σ = 55823040. Its totient is φ = 6063552.

The previous prime is 20089763. The next prime is 20089799. The reversal of 20089764 is 46798002.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20089763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15094 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (775320).

Almost surely, 220089764 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 20089764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27911520).

20089764 is an abundant number, since it is smaller than the sum of its proper divisors (35733276).

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

20089764 is a wasteful number, since it uses less digits than its factorization.

20089764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20089764 is about 4482.1606396915. The cubic root of 20089764 is about 271.8472505963.

The spelling of 20089764 in words is "twenty million, eighty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1277 1311 1748 2554 2622 3831 3933 5108 5244 7662 7866 11493 15324 15732 22986 24263 29371 45972 48526 58742 72789 88113 97052 117484 145578 176226 218367 264339 291156 352452 436734 528678 558049 873468 1057356 1116098 1674147 2232196 3348294 5022441 6696588 10044882 20089764