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20964624 = 2431094007
BaseRepresentation
bin100111111111…
…0010100010000
31110110010001120
41033332110100
520331331444
62025202240
7343124232
oct117762420
943403046
1020964624
111091a03a
127030380
134460505
142ada252
151c91b19
hex13fe510

20964624 has 40 divisors (see below), whose sum is σ = 54669120. Its totient is φ = 6922368.

The previous prime is 20964613. The next prime is 20964631. The reversal of 20964624 is 42646902.

It is a happy number.

It is a super-2 number, since 2×209646242 = 879030918922752, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3229 + ... + 7235.

It is an arithmetic number, because the mean of its divisors is an integer number (1366728).

Almost surely, 220964624 is an apocalyptic number.

20964624 is a gapful number since it is divisible by the number (24) 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 20964624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27334560).

20964624 is an abundant number, since it is smaller than the sum of its proper divisors (33704496).

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

20964624 is a wasteful number, since it uses less digits than its factorization.

20964624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4127 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 20964624 is about 4578.7142299995. The cubic root of 20964624 is about 275.7374104039.

The spelling of 20964624 in words is "twenty million, nine hundred sixty-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 4007 5232 8014 12021 16028 24042 32056 48084 64112 96168 192336 436763 873526 1310289 1747052 2620578 3494104 5241156 6988208 10482312 20964624