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20946384 = 243348487
BaseRepresentation
bin100111111100…
…1110111010000
31110102012001000
41033321313100
520330241014
62024542000
7343020114
oct117716720
943365030
1020946384
1110907368
127021900
134455114
142ad3744
151c8b509
hex13f9dd0

20946384 has 40 divisors (see below), whose sum is σ = 60125120. Its totient is φ = 6981984.

The previous prime is 20946383. The next prime is 20946391. The reversal of 20946384 is 48364902.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20946383) 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, 23812 + ... + 24675.

It is an arithmetic number, because the mean of its divisors is an integer number (1503128).

Almost surely, 220946384 is an apocalyptic number.

20946384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20946384 is an abundant number, since it is smaller than the sum of its proper divisors (39178736).

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

20946384 is a wasteful number, since it uses less digits than its factorization.

20946384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48504 (or 48492 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 20946384 is about 4576.7219710181. The cubic root of 20946384 is about 275.6574199451.

The spelling of 20946384 in words is "twenty million, nine hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 48487 96974 145461 193948 290922 387896 436383 581844 775792 872766 1163688 1309149 1745532 2327376 2618298 3491064 5236596 6982128 10473192 20946384