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20195904 = 263293359
BaseRepresentation
bin100110100001…
…0101001000000
31102000001120110
41031002221000
520132232104
62000511320
7333443121
oct115025100
942001513
1020195904
1110444533
12691b540
134251651
14297a048
151b8de89
hex1342a40

20195904 has 56 divisors (see below), whose sum is σ = 53766720. Its totient is φ = 6690304.

The previous prime is 20195893. The next prime is 20195933. The reversal of 20195904 is 40959102.

It is a happy number.

It is a super-3 number, since 3×201959043 (a number of 23 digits) contains 333 as substring.

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, 56077 + ... + 56435.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 220195904 is an apocalyptic number.

20195904 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 20195904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26883360).

20195904 is an abundant number, since it is smaller than the sum of its proper divisors (33570816).

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

20195904 is a wasteful number, since it uses less digits than its factorization.

20195904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 20195904 is about 4493.9853137277. The cubic root of 20195904 is about 272.3251590040.

The spelling of 20195904 in words is "twenty million, one hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 359 586 718 879 1077 1172 1436 1758 2154 2344 2872 3516 4308 4688 5744 7032 8616 9376 11488 14064 17232 18752 22976 28128 34464 56256 68928 105187 210374 315561 420748 631122 841496 1262244 1682992 2524488 3365984 5048976 6731968 10097952 20195904