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21920580 = 223251111071
BaseRepresentation
bin101001110011…
…1101101000100
31112020200101100
41103213231010
521102424310
62101500100
7354215253
oct123475504
945220340
1021920580
1111412290
127411630
134706676
142ca879a
151dceec0
hex14e7b44

21920580 has 72 divisors (see below), whose sum is σ = 72543744. Its totient is φ = 5313600.

The previous prime is 21920573. The next prime is 21920621. The reversal of 21920580 is 8502912.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3556 + ... + 7515.

It is an arithmetic number, because the mean of its divisors is an integer number (1007552).

Almost surely, 221920580 is an apocalyptic number.

21920580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21920580 is an abundant number, since it is smaller than the sum of its proper divisors (50623164).

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

21920580 is a wasteful number, since it uses less digits than its factorization.

21920580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11097 (or 11092 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 21920580 is about 4681.9419048083. The cubic root of 21920580 is about 279.8663477786.

It can be divided in two parts, 21920 and 580, that added together give a square (22500 = 1502).

The spelling of 21920580 in words is "twenty-one million, nine hundred twenty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11071 22142 33213 44284 55355 66426 99639 110710 121781 132852 166065 199278 221420 243562 332130 365343 398556 487124 498195 608905 664260 730686 996390 1096029 1217810 1461372 1826715 1992780 2192058 2435620 3653430 4384116 5480145 7306860 10960290 21920580