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19666480 = 245435717
BaseRepresentation
bin100101100000…
…1011000110000
31101000011100011
41023001120300
520013311410
61541304304
7326106451
oct113013060
941004304
1019666480
1110112799
126705094
1340c7692
14287d128
151ad718a
hex12c1630

19666480 has 40 divisors (see below), whose sum is σ = 46796112. Its totient is φ = 7682304.

The previous prime is 19666469. The next prime is 19666483. The reversal of 19666480 is 8466691.

It is a tau number, because it is divible by the number of its divisors (40).

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 a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (19666483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 582 + ... + 6298.

Almost surely, 219666480 is an apocalyptic number.

19666480 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 19666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398056).

19666480 is an abundant number, since it is smaller than the sum of its proper divisors (27129632).

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

19666480 is a wasteful number, since it uses less digits than its factorization.

19666480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5773 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 19666480 is about 4434.6905190780. The cubic root of 19666480 is about 269.9244415916.

The spelling of 19666480 in words is "nineteen million, six hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 5717 11434 22868 28585 45736 57170 91472 114340 228680 245831 457360 491662 983324 1229155 1966648 2458310 3933296 4916620 9833240 19666480