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20318780 = 2254171349
BaseRepresentation
bin100110110000…
…0101000111100
31102020022010102
41031200220330
520200200110
62003300232
7334464266
oct115405074
942208112
1020318780
1110518889
12697a678
134295561
1429acb36
151bb55a5
hex1360a3c

20318780 has 48 divisors (see below), whose sum is σ = 44452800. Its totient is φ = 7795200.

The previous prime is 20318761. The next prime is 20318797. The reversal of 20318780 is 8781302.

20318780 = T975 + T976 + ... + T1015.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 58046 + ... + 58394.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 220318780 is an apocalyptic number.

20318780 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 20318780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22226400).

20318780 is an abundant number, since it is smaller than the sum of its proper divisors (24134020).

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

20318780 is a wasteful number, since it uses less digits than its factorization.

20318780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 20318780 is about 4507.6357439350. The cubic root of 20318780 is about 272.8763366261.

The spelling of 20318780 in words is "twenty million, three hundred eighteen thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 20 41 71 82 142 164 205 284 349 355 410 698 710 820 1396 1420 1745 2911 3490 5822 6980 11644 14309 14555 24779 28618 29110 49558 57236 58220 71545 99116 123895 143090 247790 286180 495580 1015939 2031878 4063756 5079695 10159390 20318780