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20604990 = 23572107131
BaseRepresentation
bin100111010011…
…0100000111110
31102202211201210
41032212200332
520233324430
62013345250
7340065600
oct116464076
942684653
1020604990
11106a391a
126a98226
134365903
142a45170
151c202b0
hex13a683e

20604990 has 96 divisors (see below), whose sum is σ = 58506624. Its totient is φ = 4630080.

The previous prime is 20604973. The next prime is 20605019. The reversal of 20604990 is 9940602.

20604990 is a nontrivial binomial coefficient, being equal to C(6420, 2).

It is a super-2 number, since 2×206049902 = 849131225800200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 157225 + ... + 157355.

It is an arithmetic number, because the mean of its divisors is an integer number (609444).

Almost surely, 220604990 is an apocalyptic number.

20604990 is the 6419-th triangular number and also the 3210-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20604990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29253312).

20604990 is an abundant number, since it is smaller than the sum of its proper divisors (37901634).

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

20604990 is a wasteful number, since it uses less digits than its factorization.

20604990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20604990 is about 4539.2719680583. The cubic root of 20604990 is about 274.1516112652.

The spelling of 20604990 in words is "twenty million, six hundred four thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 107 131 147 210 214 245 262 294 321 393 490 535 642 655 735 749 786 917 1070 1310 1470 1498 1605 1834 1965 2247 2751 3210 3745 3930 4494 4585 5243 5502 6419 7490 9170 10486 11235 12838 13755 14017 15729 19257 22470 26215 27510 28034 31458 32095 38514 42051 52430 64190 70085 78645 84102 96285 98119 140170 157290 192570 196238 210255 294357 420510 490595 588714 686833 981190 1373666 1471785 2060499 2943570 3434165 4120998 6868330 10302495 20604990