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20892880 = 2451791459
BaseRepresentation
bin100111110110…
…0110011010000
31110022110122101
41033230303100
520322033010
62023450144
7342405121
oct117546320
943273571
1020892880
1110880148
126bb6954
134436968
142abc048
151c7a73a
hex13eccd0

20892880 has 40 divisors (see below), whose sum is σ = 48880800. Its totient is φ = 8304768.

The previous prime is 20892871. The next prime is 20892889. The reversal of 20892880 is 8829802.

It is an interprime number because it is at equal distance from previous prime (20892871) and next prime (20892889).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20892889) by changing a digit.

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, 13591 + ... + 15049.

It is an arithmetic number, because the mean of its divisors is an integer number (1222020).

Almost surely, 220892880 is an apocalyptic number.

20892880 is a gapful number since it is divisible by the number (20) 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 20892880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24440400).

20892880 is an abundant number, since it is smaller than the sum of its proper divisors (27987920).

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

20892880 is a wasteful number, since it uses less digits than its factorization.

20892880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 20892880 is about 4570.8730019549. The cubic root of 20892880 is about 275.4225130482.

The spelling of 20892880 in words is "twenty million, eight hundred ninety-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 179 358 716 895 1432 1459 1790 2864 2918 3580 5836 7160 7295 11672 14320 14590 23344 29180 58360 116720 261161 522322 1044644 1305805 2089288 2611610 4178576 5223220 10446440 20892880