Search a number
-
+
21105920 = 285111499
BaseRepresentation
bin101000010000…
…0110100000000
31110201021212202
41100200310000
520400342140
62032212332
7344253203
oct120406400
943637782
1021105920
1110a06210
12709a0a8
1344ac914
142b3593a
151cbd915
hex1420d00

21105920 has 72 divisors (see below), whose sum is σ = 55188000. Its totient is φ = 7669760.

The previous prime is 21105913. The next prime is 21105967. The reversal of 21105920 is 2950112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21105892 and 21105901.

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, 13331 + ... + 14829.

It is an arithmetic number, because the mean of its divisors is an integer number (766500).

Almost surely, 221105920 is an apocalyptic number.

21105920 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 21105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27594000).

21105920 is an abundant number, since it is smaller than the sum of its proper divisors (34082080).

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

21105920 is a wasteful number, since it uses less digits than its factorization.

21105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 21105920 is about 4594.1179784590. The cubic root of 21105920 is about 276.3554895609.

The spelling of 21105920 in words is "twenty-one million, one hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1499 1760 2816 2998 3520 5996 7040 7495 11992 14080 14990 16489 23984 29980 32978 47968 59960 65956 82445 95936 119920 131912 164890 191872 239840 263824 329780 383744 479680 527648 659560 959360 1055296 1319120 1918720 2110592 2638240 4221184 5276480 10552960 21105920