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20753694 = 23213312861
BaseRepresentation
bin100111100101…
…0110100011110
31110001101201100
41033022310132
520303104234
62020453530
7341255253
oct117126436
943041640
1020753694
1110795615
126b4a2a6
1343b84c0
142a8342a
151c4e399
hex13cad1e

20753694 has 48 divisors (see below), whose sum is σ = 50004864. Its totient is φ = 6177600.

The previous prime is 20753683. The next prime is 20753699. The reversal of 20753694 is 49635702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20753699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5824 + ... + 8684.

It is an arithmetic number, because the mean of its divisors is an integer number (1041768).

Almost surely, 220753694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20753694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25002432).

20753694 is an abundant number, since it is smaller than the sum of its proper divisors (29251170).

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

20753694 is a wasteful number, since it uses less digits than its factorization.

20753694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2913 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 20753694 is about 4555.6222407043. The cubic root of 20753694 is about 274.8095386429.

The spelling of 20753694 in words is "twenty million, seven hundred fifty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 1209 2418 2861 3627 5722 7254 8583 17166 25749 37193 51498 74386 88691 111579 177382 223158 266073 334737 532146 669474 798219 1152983 1596438 2305966 3458949 6917898 10376847 20753694