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21809970 = 23257132663
BaseRepresentation
bin101001100110…
…0101100110010
31112001001122200
41103030230302
521040404340
62055244030
7353244630
oct123145462
945031580
1021809970
1111347176
127379616
134698210
142c7a350
151dac330
hex14ccb32

21809970 has 96 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 4599936.

The previous prime is 21809951. The next prime is 21809971. The reversal of 21809970 is 7990812.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21809971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6859 + ... + 9521.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 221809970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21809970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).

21809970 is an abundant number, since it is smaller than the sum of its proper divisors (48008142).

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

21809970 is a wasteful number, since it uses less digits than its factorization.

21809970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 21809970 is about 4670.1145596227. The cubic root of 21809970 is about 279.3948239015.

The spelling of 21809970 in words is "twenty-one million, eight hundred nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 182 195 210 234 273 315 390 455 546 585 630 819 910 1170 1365 1638 2663 2730 4095 5326 7989 8190 13315 15978 18641 23967 26630 34619 37282 39945 47934 55923 69238 79890 93205 103857 111846 119835 167769 173095 186410 207714 239670 242333 279615 311571 335538 346190 484666 519285 559230 623142 726999 838845 1038570 1211665 1453998 1557855 1677690 2180997 2423330 3115710 3634995 4361994 7269990 10904985 21809970