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21948290 = 2571389271
BaseRepresentation
bin101001110111…
…0011110000010
31112022002101122
41103232132002
521104321130
62102232242
7354362120
oct123563602
945262348
1021948290
1111431091
127425682
134716170
142cb4910
151dd82e5
hex14ee782

21948290 has 64 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 6842880.

The previous prime is 21948263. The next prime is 21948293. The reversal of 21948290 is 9284912.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21948290.

It is not an unprimeable number, because it can be changed into a prime (21948293) 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 31 ways as a sum of consecutive naturals, for example, 80855 + ... + 81125.

It is an arithmetic number, because the mean of its divisors is an integer number (771120).

Almost surely, 221948290 is an apocalyptic number.

21948290 is an abundant number, since it is smaller than the sum of its proper divisors (27403390).

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

21948290 is a wasteful number, since it uses less digits than its factorization.

21948290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 21948290 is about 4684.9002123845. The cubic root of 21948290 is about 279.9842253018.

The spelling of 21948290 in words is "twenty-one million, nine hundred forty-eight thousand, two hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 89 91 130 178 182 271 445 455 542 623 890 910 1157 1246 1355 1897 2314 2710 3115 3523 3794 5785 6230 7046 8099 9485 11570 16198 17615 18970 24119 24661 35230 40495 48238 49322 80990 120595 123305 168833 241190 246610 313547 337666 627094 844165 1567735 1688330 2194829 3135470 4389658 10974145 21948290