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20779122 = 23713192003
BaseRepresentation
bin100111101000…
…1000001110010
31110002200121010
41033101001302
520304412442
62021211350
7341422350
oct117210162
943080533
1020779122
1110802731
126b60b56
1343c6c50
142a8c7d0
151c56b9c
hex13d1072

20779122 has 64 divisors (see below), whose sum is σ = 53867520. Its totient is φ = 5189184.

The previous prime is 20779091. The next prime is 20779139. The reversal of 20779122 is 22197702.

It is a happy number.

It is a super-2 number, since 2×207791222 = 863543822181768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20779122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9373 + ... + 11375.

It is an arithmetic number, because the mean of its divisors is an integer number (841680).

Almost surely, 220779122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20779122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26933760).

20779122 is an abundant number, since it is smaller than the sum of its proper divisors (33088398).

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

20779122 is a wasteful number, since it uses less digits than its factorization.

20779122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047.

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 20779122 is about 4558.4122235708. The cubic root of 20779122 is about 274.9217275859.

The spelling of 20779122 in words is "twenty million, seven hundred seventy-nine thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 182 247 266 273 399 494 546 741 798 1482 1729 2003 3458 4006 5187 6009 10374 12018 14021 26039 28042 38057 42063 52078 76114 78117 84126 114171 156234 182273 228342 266399 364546 494741 532798 546819 799197 989482 1093638 1484223 1598394 2968446 3463187 6926374 10389561 20779122