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20219904 = 211321097
BaseRepresentation
bin100110100100…
…0100000000000
31102001021111100
41031020200000
520134014104
62001214400
7333603105
oct115104000
942037440
1020219904
1110460571
126931400
13425c553
142984aac
151b96139
hex1348800

20219904 has 72 divisors (see below), whose sum is σ = 58452030. Its totient is φ = 6733824.

The previous prime is 20219893. The next prime is 20219911. The reversal of 20219904 is 40991202.

It can be written as a sum of positive squares in only one way, i.e., 18662400 + 1557504 = 4320^2 + 1248^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17884 + ... + 18980.

Almost surely, 220219904 is an apocalyptic number.

20219904 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 20219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29226015).

20219904 is an abundant number, since it is smaller than the sum of its proper divisors (38232126).

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

20219904 is a wasteful number, since it uses less digits than its factorization.

20219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 20219904 is about 4496.6547565941. The cubic root of 20219904 is about 272.4329897233.

The spelling of 20219904 in words is "twenty million, two hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1097 1152 1536 2048 2194 2304 3072 3291 4388 4608 6144 6582 8776 9216 9873 13164 17552 18432 19746 26328 35104 39492 52656 70208 78984 105312 140416 157968 210624 280832 315936 421248 561664 631872 842496 1123328 1263744 1684992 2246656 2527488 3369984 5054976 6739968 10109952 20219904