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20901264 = 243716133
BaseRepresentation
bin100111110111…
…0110110010000
31110022220010220
41033232312100
520322320024
62023553040
7342441426
oct117566620
943286126
1020901264
111088647a
126bbb780
13443a717
142ac1116
151c7ce79
hex13eed90

20901264 has 40 divisors (see below), whose sum is σ = 54764352. Its totient is φ = 6867840.

The previous prime is 20901259. The next prime is 20901277. The reversal of 20901264 is 46210902.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342 + ... + 6474.

Almost surely, 220901264 is an apocalyptic number.

20901264 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 20901264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27382176).

20901264 is an abundant number, since it is smaller than the sum of its proper divisors (33863088).

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

20901264 is a wasteful number, since it uses less digits than its factorization.

20901264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6215 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 20901264 is about 4571.7900214249. The cubic root of 20901264 is about 275.4593490987.

The spelling of 20901264 in words is "twenty million, nine hundred one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 6133 12266 18399 24532 36798 49064 73596 98128 147192 294384 435443 870886 1306329 1741772 2612658 3483544 5225316 6967088 10450632 20901264