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20079380 = 2251773809
BaseRepresentation
bin100110010011…
…0001100010100
31101210010201202
41030212030110
520120020010
61554212032
7332446316
oct114461424
941703652
1020079380
1110374a32
126884018
1342105b9
1429497b6
151b696a5
hex1326314

20079380 has 48 divisors (see below), whose sum is σ = 45314640. Its totient is φ = 7446528.

The previous prime is 20079377. The next prime is 20079403. The reversal of 20079380 is 8397002.

It can be written as a sum of positive squares in 8 ways, for example, as 2067844 + 18011536 = 1438^2 + 4244^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24416 + ... + 25224.

It is an arithmetic number, because the mean of its divisors is an integer number (944055).

Almost surely, 220079380 is an apocalyptic number.

20079380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20079380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657320).

20079380 is an abundant number, since it is smaller than the sum of its proper divisors (25235260).

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

20079380 is a wasteful number, since it uses less digits than its factorization.

20079380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 20079380 is about 4481.0021200620. The cubic root of 20079380 is about 271.8004050426.

The spelling of 20079380 in words is "twenty million, seventy-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 73 85 146 170 292 340 365 730 809 1241 1460 1618 2482 3236 4045 4964 6205 8090 12410 13753 16180 24820 27506 55012 59057 68765 118114 137530 236228 275060 295285 590570 1003969 1181140 2007938 4015876 5019845 10039690 20079380