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20435904 = 2632172087
BaseRepresentation
bin100110111110…
…1001111000000
31102110020210100
41031331033000
520212422104
62010002400
7335462616
oct115751700
942406710
1020435904
1110598885
126a16400
134306968
1429dd6b6
151bda139
hex137d3c0

20435904 has 84 divisors (see below), whose sum is σ = 62051184. Its totient is φ = 6408192.

The previous prime is 20435903. The next prime is 20435939. The reversal of 20435904 is 40953402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20435903) 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 11 ways as a sum of consecutive naturals, for example, 8749 + ... + 10835.

Almost surely, 220435904 is an apocalyptic number.

20435904 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 20435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31025592).

20435904 is an abundant number, since it is smaller than the sum of its proper divisors (41615280).

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

20435904 is a wasteful number, since it uses less digits than its factorization.

20435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 20435904 is about 4520.6088085567. The cubic root of 20435904 is about 273.3996481308.

The spelling of 20435904 in words is "twenty million, four hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2087 2448 3264 4174 4896 6261 8348 9792 12522 16696 18783 25044 33392 35479 37566 50088 66784 70958 75132 100176 106437 133568 141916 150264 200352 212874 283832 300528 319311 400704 425748 567664 601056 638622 851496 1135328 1202112 1277244 1702992 2270656 2554488 3405984 5108976 6811968 10217952 20435904