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20914104 = 23329151199
BaseRepresentation
bin100111111000…
…1111110111000
31110100112202110
41033301332320
520323222404
62024132320
7342524031
oct117617670
943315673
1020914104
1110895092
1270070a0
134443513
142ac5a88
151c81b89
hex13f1fb8

20914104 has 64 divisors (see below), whose sum is σ = 54720000. Its totient is φ = 6652800.

The previous prime is 20914099. The next prime is 20914121. The reversal of 20914104 is 40141902.

It is a super-2 number, since 2×209141042 = 874799492245632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104997 + ... + 105195.

It is an arithmetic number, because the mean of its divisors is an integer number (855000).

Almost surely, 220914104 is an apocalyptic number.

20914104 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 20914104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360000).

20914104 is an abundant number, since it is smaller than the sum of its proper divisors (33805896).

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

20914104 is a wasteful number, since it uses less digits than its factorization.

20914104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 20914104 is about 4573.1940697941. The cubic root of 20914104 is about 275.5157439979.

The spelling of 20914104 in words is "twenty million, nine hundred fourteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 151 174 199 232 302 348 398 453 597 604 696 796 906 1194 1208 1592 1812 2388 3624 4379 4776 5771 8758 11542 13137 17313 17516 23084 26274 30049 34626 35032 46168 52548 60098 69252 90147 105096 120196 138504 180294 240392 360588 721176 871421 1742842 2614263 3485684 5228526 6971368 10457052 20914104