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19668264 = 23371129367
BaseRepresentation
bin100101100000…
…1110100101000
31101000020210020
41023001310220
520013341024
61541320440
7326114610
oct113016450
941006706
1019668264
1110114070
126706120
1340c8435
14287da40
151ad7979
hex12c1d28

19668264 has 128 divisors (see below), whose sum is σ = 63590400. Its totient is φ = 4919040.

The previous prime is 19668263. The next prime is 19668277. The reversal of 19668264 is 46286691.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19668263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53409 + ... + 53775.

It is an arithmetic number, because the mean of its divisors is an integer number (496800).

Almost surely, 219668264 is an apocalyptic number.

19668264 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 19668264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31795200).

19668264 is an abundant number, since it is smaller than the sum of its proper divisors (43922136).

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

19668264 is a wasteful number, since it uses less digits than its factorization.

19668264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 419 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 19668264 is about 4434.8916559483. The cubic root of 19668264 is about 269.9326032054.

The spelling of 19668264 in words is "nineteen million, six hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 367 406 462 609 616 638 696 734 812 924 957 1101 1218 1276 1468 1624 1848 1914 2202 2233 2436 2552 2569 2936 3828 4037 4404 4466 4872 5138 6699 7656 7707 8074 8808 8932 10276 10643 12111 13398 15414 16148 17864 20552 21286 24222 26796 28259 30828 31929 32296 42572 48444 53592 56518 61656 63858 74501 84777 85144 96888 113036 117073 127716 149002 169554 223503 226072 234146 255432 298004 339108 351219 447006 468292 596008 678216 702438 819511 894012 936584 1404876 1639022 1788024 2458533 2809752 3278044 4917066 6556088 9834132 19668264