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20634504 = 23311471663
BaseRepresentation
bin100111010110…
…1101110001000
31102211100012220
41032231232020
520240301004
62014134040
7340250622
oct116555610
942740186
1020634504
1110714010
126ab1320
134376187
142a51c12
151c28dd9
hex13adb88

20634504 has 64 divisors (see below), whose sum is σ = 57507840. Its totient is φ = 6116160.

The previous prime is 20634487. The next prime is 20634511. The reversal of 20634504 is 40543602.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11577 + ... + 13239.

It is an arithmetic number, because the mean of its divisors is an integer number (898560).

Almost surely, 220634504 is an apocalyptic number.

20634504 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 20634504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

20634504 is an abundant number, since it is smaller than the sum of its proper divisors (36873336).

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

20634504 is a wasteful number, since it uses less digits than its factorization.

20634504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 20634504 is about 4542.5217665962. The cubic root of 20634504 is about 274.2824444675.

The spelling of 20634504 in words is "twenty million, six hundred thirty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 282 376 517 564 1034 1128 1551 1663 2068 3102 3326 4136 4989 6204 6652 9978 12408 13304 18293 19956 36586 39912 54879 73172 78161 109758 146344 156322 219516 234483 312644 439032 468966 625288 859771 937932 1719542 1875864 2579313 3439084 5158626 6878168 10317252 20634504