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20468640 = 253542643
BaseRepresentation
bin100111000010…
…1001110100000
31102111220200210
41032011032200
520214444030
62010414120
7335660223
oct116051640
942456623
1020468640
1110610435
126a31340
13431882a
142a0b5ba
151be4bb0
hex13853a0

20468640 has 48 divisors (see below), whose sum is σ = 64477728. Its totient is φ = 5458176.

The previous prime is 20468627. The next prime is 20468671. The reversal of 20468640 is 4686402.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20468598 and 20468607.

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, 20842 + ... + 21801.

It is an arithmetic number, because the mean of its divisors is an integer number (1343286).

Almost surely, 220468640 is an apocalyptic number.

20468640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20468640 is an abundant number, since it is smaller than the sum of its proper divisors (44009088).

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

20468640 is a wasteful number, since it uses less digits than its factorization.

20468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42661 (or 42653 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 20468640 is about 4524.2281109599. The cubic root of 20468640 is about 273.5455553237.

The spelling of 20468640 in words is "twenty million, four hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 42643 85286 127929 170572 213215 255858 341144 426430 511716 639645 682288 852860 1023432 1279290 1364576 1705720 2046864 2558580 3411440 4093728 5117160 6822880 10234320 20468640