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20923680 = 253543591
BaseRepresentation
bin100111111010…
…0010100100000
31110101000220010
41033310110200
520324024210
62024244520
7342563661
oct117642440
943330803
1020923680
11108a12a8
127010740
13444799b
142ac9368
151c84920
hex13f4520

20923680 has 48 divisors (see below), whose sum is σ = 65911104. Its totient is φ = 5579520.

The previous prime is 20923657. The next prime is 20923687. The reversal of 20923680 is 8632902.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (20923687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21316 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (1373148).

Almost surely, 220923680 is an apocalyptic number.

20923680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20923680 is an abundant number, since it is smaller than the sum of its proper divisors (44987424).

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

20923680 is a wasteful number, since it uses less digits than its factorization.

20923680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43609 (or 43601 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20923680 is about 4574.2409206337. The cubic root of 20923680 is about 275.5577879728.

The spelling of 20923680 in words is "twenty million, nine hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 43591 87182 130773 174364 217955 261546 348728 435910 523092 653865 697456 871820 1046184 1307730 1394912 1743640 2092368 2615460 3487280 4184736 5230920 6974560 10461840 20923680