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21920340 = 223513157179
BaseRepresentation
bin101001110011…
…1101001010100
31112020200001110
41103213221110
521102422330
62101455020
7354214461
oct123475124
945220043
1021920340
1111412092
127411470
134706520
142ca8668
151dcedb0
hex14e7a54

21920340 has 96 divisors (see below), whose sum is σ = 66890880. Its totient is φ = 5331456.

The previous prime is 21920321. The next prime is 21920359. The reversal of 21920340 is 4302912.

It is an interprime number because it is at equal distance from previous prime (21920321) and next prime (21920359).

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 31 ways as a sum of consecutive naturals, for example, 122371 + ... + 122549.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 221920340 is an apocalyptic number.

21920340 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 21920340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33445440).

21920340 is an abundant number, since it is smaller than the sum of its proper divisors (44970540).

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

21920340 is a wasteful number, since it uses less digits than its factorization.

21920340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 21920340 is about 4681.9162743475. The cubic root of 21920340 is about 279.8653263919.

The spelling of 21920340 in words is "twenty-one million, nine hundred twenty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 179 195 260 314 358 390 471 537 628 716 780 785 895 942 1074 1570 1790 1884 2041 2148 2327 2355 2685 3140 3580 4082 4654 4710 5370 6123 6981 8164 9308 9420 10205 10740 11635 12246 13962 20410 23270 24492 27924 28103 30615 34905 40820 46540 56206 61230 69810 84309 112412 122460 139620 140515 168618 281030 337236 365339 421545 562060 730678 843090 1096017 1461356 1686180 1826695 2192034 3653390 4384068 5480085 7306780 10960170 21920340