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21946008 = 2337130631
BaseRepresentation
bin101001110110…
…1111010011000
31112021222021010
41103231322120
521104233013
62102213520
7354352350
oct123557230
945258233
1021946008
111142a3a7
1274242a0
134715106
142cb3b60
151dd77c3
hex14ede98

21946008 has 32 divisors (see below), whose sum is σ = 62703360. Its totient is φ = 6270240.

The previous prime is 21946003. The next prime is 21946009. The reversal of 21946008 is 80064912.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21946003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65148 + ... + 65483.

It is an arithmetic number, because the mean of its divisors is an integer number (1959480).

Almost surely, 221946008 is an apocalyptic number.

21946008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

21946008 is an abundant number, since it is smaller than the sum of its proper divisors (40757352).

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

21946008 is a wasteful number, since it uses less digits than its factorization.

21946008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130647 (or 130643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21946008 is about 4684.6566576431. The cubic root of 21946008 is about 279.9745214912.

The spelling of 21946008 in words is "twenty-one million, nine hundred forty-six thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 130631 261262 391893 522524 783786 914417 1045048 1567572 1828834 2743251 3135144 3657668 5486502 7315336 10973004 21946008