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20079810 = 2325472101
BaseRepresentation
bin100110010011…
…0010011000010
31101210011022200
41030212103002
520120023220
61554214030
7332450502
oct114462302
941704280
1020079810
1110375293
126884316
13421085a
142949a02
151b69890
hex13264c2

20079810 has 72 divisors (see below), whose sum is σ = 53870076. Its totient is φ = 5188800.

The previous prime is 20079809. The next prime is 20079817. The reversal of 20079810 is 1897002.

It can be written as a sum of positive squares in 2 ways, for example, as 19105641 + 974169 = 4371^2 + 987^2 .

It is a super-2 number, since 2×200798102 = 806397539272200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20079817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198760 + ... + 198860.

Almost surely, 220079810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20079810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935038).

20079810 is an abundant number, since it is smaller than the sum of its proper divisors (33790266).

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

20079810 is a wasteful number, since it uses less digits than its factorization.

20079810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 20079810 is about 4481.0501001439. The cubic root of 20079810 is about 271.8023452310.

The spelling of 20079810 in words is "twenty million, seventy-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 101 141 202 235 282 303 423 470 505 606 705 846 909 1010 1410 1515 1818 2115 2209 3030 4230 4418 4545 4747 6627 9090 9494 11045 13254 14241 19881 22090 23735 28482 33135 39762 42723 47470 66270 71205 85446 99405 142410 198810 213615 223109 427230 446218 669327 1115545 1338654 2007981 2231090 3346635 4015962 6693270 10039905 20079810