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19696640 = 21053847
BaseRepresentation
bin100101100100…
…0110000000000
31101001200201012
41023020300000
520020243030
61542100052
7326263415
oct113106000
941050635
1019696640
1110133417
12671a628
134108322
14288a10c
151ae1095
hex12c8c00

19696640 has 44 divisors (see below), whose sum is σ = 47261136. Its totient is φ = 7876608.

The previous prime is 19696637. The next prime is 19696643. The reversal of 19696640 is 4669691.

It is an interprime number because it is at equal distance from previous prime (19696637) and next prime (19696643).

It is not an unprimeable number, because it can be changed into a prime (19696643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3197 + ... + 7043.

Almost surely, 219696640 is an apocalyptic number.

19696640 is a gapful number since it is divisible by the number (10) 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 19696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23630568).

19696640 is an abundant number, since it is smaller than the sum of its proper divisors (27564496).

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

19696640 is an equidigital number, since it uses as much as digits as its factorization.

19696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 19696640 is about 4438.0896791300. The cubic root of 19696640 is about 270.0623541401.

The spelling of 19696640 in words is "nineteen million, six hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 3847 5120 7694 15388 19235 30776 38470 61552 76940 123104 153880 246208 307760 492416 615520 984832 1231040 1969664 2462080 3939328 4924160 9848320 19696640