Search a number
-
+
19507968 = 28328467
BaseRepresentation
bin100101001101…
…0101100000000
31100201002220100
41022122230000
514443223333
61534042400
7324546354
oct112325400
940632810
1019507968
1110014697
126649400
13407049c
14283b464
151aa5213
hex129ab00

19507968 has 54 divisors (see below), whose sum is σ = 56252924. Its totient is φ = 6501888.

The previous prime is 19507967. The next prime is 19507973. The reversal of 19507968 is 86970591.

It is not an unprimeable number, because it can be changed into a prime (19507963) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1930 + ... + 6537.

Almost surely, 219507968 is an apocalyptic number.

19507968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19507968 is an abundant number, since it is smaller than the sum of its proper divisors (36744956).

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

19507968 is an equidigital number, since it uses as much as digits as its factorization.

19507968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8489 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19507968 is about 4416.7825393605. The cubic root of 19507968 is about 269.1972866703.

The spelling of 19507968 in words is "nineteen million, five hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 8467 16934 25401 33868 50802 67736 76203 101604 135472 152406 203208 270944 304812 406416 541888 609624 812832 1083776 1219248 1625664 2167552 2438496 3251328 4876992 6502656 9753984 19507968