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20693790 = 23251323769
BaseRepresentation
bin100111011110…
…0001100011110
31102221100112200
41032330030132
520244200130
62015312330
7340615515
oct116741436
942840480
1020693790
1110754607
126b1b6a6
134397160
142a6967c
151c3b760
hex13bc31e

20693790 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 4866048.

The previous prime is 20693749. The next prime is 20693819. The reversal of 20693790 is 9739602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26526 + ... + 27294.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 220693790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20693790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20693790 is an abundant number, since it is smaller than the sum of its proper divisors (39846690).

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

20693790 is a wasteful number, since it uses less digits than its factorization.

20693790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 20693790 is about 4549.0427564489. The cubic root of 20693790 is about 274.5448780477.

The spelling of 20693790 in words is "twenty million, six hundred ninety-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 769 897 1035 1170 1495 1538 1794 2070 2307 2691 2990 3845 4485 4614 5382 6921 7690 8970 9997 11535 13455 13842 17687 19994 23070 26910 29991 34605 35374 49985 53061 59982 69210 88435 89973 99970 106122 149955 159183 176870 179946 229931 265305 299910 318366 449865 459862 530610 689793 795915 899730 1149655 1379586 1591830 2069379 2299310 3448965 4138758 6897930 10346895 20693790