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19664920 = 23511217239
BaseRepresentation
bin100101100000…
…1000000011000
31101000002012101
41023001000120
520013234140
61541253144
7326102062
oct113010030
941002171
1019664920
1110111600
1267041b4
1340c6a62
14287c732
151ad699a
hex12c1018

19664920 has 96 divisors (see below), whose sum is σ = 51710400. Its totient is φ = 6702080.

The previous prime is 19664899. The next prime is 19664923. The reversal of 19664920 is 2946691.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 19664920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19664923) 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 23 ways as a sum of consecutive naturals, for example, 82161 + ... + 82399.

It is an arithmetic number, because the mean of its divisors is an integer number (538650).

Almost surely, 219664920 is an apocalyptic number.

19664920 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 19664920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25855200).

19664920 is an abundant number, since it is smaller than the sum of its proper divisors (32045480).

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

19664920 is a wasteful number, since it uses less digits than its factorization.

19664920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 19664920 is about 4434.5146295846. The cubic root of 19664920 is about 269.9173043499.

It can be divided in two parts, 1966 and 4920, that added together give a palindrome (6886).

The spelling of 19664920 in words is "nineteen million, six hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 239 242 340 374 440 478 484 605 680 748 935 956 968 1195 1210 1496 1870 1912 2057 2390 2420 2629 3740 4063 4114 4780 4840 5258 7480 8126 8228 9560 10285 10516 13145 16252 16456 20315 20570 21032 26290 28919 32504 40630 41140 44693 52580 57838 81260 82280 89386 105160 115676 144595 162520 178772 223465 231352 289190 357544 446930 491623 578380 893860 983246 1156760 1787720 1966492 2458115 3932984 4916230 9832460 19664920