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21939660 = 2234529467
BaseRepresentation
bin101001110110…
…0010111001100
31112021122120000
41103230113030
521104032120
62102124300
7354325011
oct123542714
945248500
1021939660
1111425656
127420690
134712262
142cb1708
151dd5990
hex14ec5cc

21939660 has 120 divisors (see below), whose sum is σ = 71351280. Its totient is φ = 5636736.

The previous prime is 21939653. The next prime is 21939667. The reversal of 21939660 is 6693912.

It is an interprime number because it is at equal distance from previous prime (21939653) and next prime (21939667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21939667) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 46747 + ... + 47213.

It is an arithmetic number, because the mean of its divisors is an integer number (594594).

Almost surely, 221939660 is an apocalyptic number.

21939660 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 21939660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675640).

21939660 is an abundant number, since it is smaller than the sum of its proper divisors (49411620).

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

21939660 is a wasteful number, since it uses less digits than its factorization.

21939660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 21939660 is about 4683.9790776646. The cubic root of 21939660 is about 279.9475241795.

The spelling of 21939660 in words is "twenty-one million, nine hundred thirty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 467 522 540 580 783 810 870 934 1044 1305 1401 1566 1620 1740 1868 2335 2349 2610 2802 3132 3915 4203 4670 4698 5220 5604 7005 7830 8406 9340 9396 11745 12609 13543 14010 15660 16812 21015 23490 25218 27086 28020 37827 40629 42030 46980 50436 54172 63045 67715 75654 81258 84060 121887 126090 135430 151308 162516 189135 203145 243774 252180 270860 365661 378270 406290 487548 609435 731322 756540 812580 1096983 1218870 1462644 1828305 2193966 2437740 3656610 4387932 5484915 7313220 10969830 21939660