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19311630 = 235133293
BaseRepresentation
bin100100110101…
…0110000001110
31100100010120120
41021222300032
514420433010
61525525410
7323101062
oct111526016
940303516
1019311630
11a9a0128
126573866
134002000
1427c9aa2
151a66e70
hex126ac0e

19311630 has 64 divisors (see below), whose sum is σ = 50379840. Its totient is φ = 4737408.

The previous prime is 19311623. The next prime is 19311631. The reversal of 19311630 is 3611391.

It is a self number, because there is not a number n which added to its sum of digits gives 19311630.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19311631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65764 + ... + 66056.

It is an arithmetic number, because the mean of its divisors is an integer number (787185).

Almost surely, 219311630 is an apocalyptic number.

19311630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 4394×4395.

It is a practical number, because each smaller number is the sum of distinct divisors of 19311630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25189920).

19311630 is an abundant number, since it is smaller than the sum of its proper divisors (31068210).

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

19311630 is a wasteful number, since it uses less digits than its factorization.

19311630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 19311630 is about 4394.4999715554. The cubic root of 19311630 is about 268.2911275345.

The spelling of 19311630 in words is "nineteen million, three hundred eleven thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 293 338 390 507 586 845 879 1014 1465 1690 1758 2197 2535 2930 3809 4394 4395 5070 6591 7618 8790 10985 11427 13182 19045 21970 22854 32955 38090 49517 57135 65910 99034 114270 148551 247585 297102 495170 643721 742755 1287442 1485510 1931163 3218605 3862326 6437210 9655815 19311630