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19317712 = 2417293179
BaseRepresentation
bin100100110110…
…0001111010000
31100100102220211
41021230033100
514421131322
61530013504
7323124601
oct111541720
940312824
1019317712
11a9a4757
126577294
1340049cb
1427cbda8
151a68b77
hex126c3d0

19317712 has 80 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 8386560.

The previous prime is 19317709. The next prime is 19317719. The reversal of 19317712 is 21771391.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19317719) 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 15 ways as a sum of consecutive naturals, for example, 244489 + ... + 244567.

It is an arithmetic number, because the mean of its divisors is an integer number (535680).

Almost surely, 219317712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19317712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

19317712 is an abundant number, since it is smaller than the sum of its proper divisors (23536688).

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

19317712 is a wasteful number, since it uses less digits than its factorization.

19317712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 158 counting only the distinct ones).

The product of its digits is 2646, while the sum is 31.

The square root of 19317712 is about 4395.1919184491. The cubic root of 19317712 is about 268.3192897588.

The spelling of 19317712 in words is "nineteen million, three hundred seventeen thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 29 31 34 58 62 68 79 116 124 136 158 232 248 272 316 464 493 496 527 632 899 986 1054 1264 1343 1798 1972 2108 2291 2449 2686 3596 3944 4216 4582 4898 5372 7192 7888 8432 9164 9796 10744 14384 15283 18328 19592 21488 30566 36656 38947 39184 41633 61132 71021 77894 83266 122264 142042 155788 166532 244528 284084 311576 333064 568168 623152 666128 1136336 1207357 2414714 4829428 9658856 19317712