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19914664 = 2371122939
BaseRepresentation
bin100101111110…
…1111110101000
31101110202210011
41023331332220
520044232124
61550501304
7331162150
oct113757650
941422704
1019914664
1110272200
126804834
134183633
142905760
151b35994
hex12fdfa8

19914664 has 48 divisors (see below), whose sum is σ = 46922400. Its totient is φ = 7756320.

The previous prime is 19914659. The next prime is 19914691. The reversal of 19914664 is 46641991.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5307 + ... + 8245.

It is an arithmetic number, because the mean of its divisors is an integer number (977550).

Almost surely, 219914664 is an apocalyptic number.

19914664 is a gapful number since it is divisible by the number (14) 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 19914664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23461200).

19914664 is an abundant number, since it is smaller than the sum of its proper divisors (27007736).

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

19914664 is a wasteful number, since it uses less digits than its factorization.

19914664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2974 (or 2959 counting only the distinct ones).

The product of its digits is 46656, while the sum is 40.

The square root of 19914664 is about 4462.5849011531. The cubic root of 19914664 is about 271.0551487007.

The spelling of 19914664 in words is "nineteen million, nine hundred fourteen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 847 968 1694 2939 3388 5878 6776 11756 20573 23512 32329 41146 64658 82292 129316 164584 226303 258632 355619 452606 711238 905212 1422476 1810424 2489333 2844952 4978666 9957332 19914664