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19906464 = 253316689
BaseRepresentation
bin100101111101…
…1111110100000
31101110100112110
41023323332200
520044001324
61550355320
7331126224
oct113737640
941410473
1019906464
1110267026
1267bbb40
13417c996
142902784
151b33329
hex12fbfa0

19906464 has 48 divisors (see below), whose sum is σ = 53948160. Its totient is φ = 6420480.

The previous prime is 19906457. The next prime is 19906489. The reversal of 19906464 is 46460991.

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

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, 369 + ... + 6320.

It is an arithmetic number, because the mean of its divisors is an integer number (1123920).

Almost surely, 219906464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19906464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26974080).

19906464 is an abundant number, since it is smaller than the sum of its proper divisors (34041696).

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

19906464 is a wasteful number, since it uses less digits than its factorization.

19906464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 19906464 is about 4461.6660565309. Note that the first 3 decimals coincide. The cubic root of 19906464 is about 271.0179406522.

The spelling of 19906464 in words is "nineteen million, nine hundred six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 6689 13378 20067 26756 40134 53512 80268 107024 160536 207359 214048 321072 414718 622077 642144 829436 1244154 1658872 2488308 3317744 4976616 6635488 9953232 19906464