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20960900 = 22521791171
BaseRepresentation
bin100111111110…
…1011010000100
31110102220221122
41033331122010
520331222100
62025133112
7343110332
oct117753204
943386848
1020960900
1110917264
12702a198
13445b8cc
142ad8b52
151c90985
hex13fd684

20960900 has 36 divisors (see below), whose sum is σ = 45778320. Its totient is φ = 8330400.

The previous prime is 20960893. The next prime is 20960911. The reversal of 20960900 is 906902.

It is a self number, because there is not a number n which added to its sum of digits gives 20960900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17315 + ... + 18485.

It is an arithmetic number, because the mean of its divisors is an integer number (1271620).

Almost surely, 220960900 is an apocalyptic number.

20960900 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 20960900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889160).

20960900 is an abundant number, since it is smaller than the sum of its proper divisors (24817420).

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

20960900 is a wasteful number, since it uses less digits than its factorization.

20960900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 20960900 is about 4578.3075475551. The cubic root of 20960900 is about 275.7210827890.

The spelling of 20960900 in words is "twenty million, nine hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1171 1790 2342 3580 4475 4684 5855 8950 11710 17900 23420 29275 58550 117100 209609 419218 838436 1048045 2096090 4192180 5240225 10480450 20960900