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19882968 = 2337196229
BaseRepresentation
bin100101111011…
…0001111011000
31101102011022020
41023312033120
520042223333
61550054440
7331000560
oct113661730
941364266
1019882968
1110250406
1267aa420
134172091
1428d7da0
151b2b3b3
hex12f63d8

19882968 has 64 divisors (see below), whose sum is σ = 59808000. Its totient is φ = 5380992.

The previous prime is 19882943. The next prime is 19882981. The reversal of 19882968 is 86928891.

It is a self number, because there is not a number n which added to its sum of digits gives 19882968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78 + ... + 6306.

It is an arithmetic number, because the mean of its divisors is an integer number (934500).

Almost surely, 219882968 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 19882968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29904000).

19882968 is an abundant number, since it is smaller than the sum of its proper divisors (39925032).

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

19882968 is a wasteful number, since it uses less digits than its factorization.

19882968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6264 (or 6260 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 19882968 is about 4459.0321819875. The cubic root of 19882968 is about 270.9112693629.

The spelling of 19882968 in words is "nineteen million, eight hundred eighty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 6229 12458 18687 24916 37374 43603 49832 74748 87206 118351 130809 149496 174412 236702 261618 348824 355053 473404 523236 710106 828457 946808 1046472 1420212 1656914 2485371 2840424 3313828 4970742 6627656 9941484 19882968