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19868148 = 22321931937
BaseRepresentation
bin100101111001…
…0100111110100
31101101101222100
41023302213310
520041240043
61545502100
7330606426
oct113624764
941341870
1019868148
1110240263
1267a1930
134168401
1428d2816
151b26cd3
hex12f29f4

19868148 has 72 divisors (see below), whose sum is σ = 54629120. Its totient is φ = 6065280.

The previous prime is 19868141. The next prime is 19868171. The reversal of 19868148 is 84186891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19868141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20736 + ... + 21672.

Almost surely, 219868148 is an apocalyptic number.

19868148 is a gapful number since it is divisible by the number (18) 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 19868148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27314560).

19868148 is an abundant number, since it is smaller than the sum of its proper divisors (34760972).

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

19868148 is a wasteful number, since it uses less digits than its factorization.

19868148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 992 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 19868148 is about 4457.3700766259. The cubic root of 19868148 is about 270.8439436843.

The spelling of 19868148 in words is "nineteen million, eight hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 31 36 38 57 62 76 93 114 124 171 186 228 279 342 372 558 589 684 937 1116 1178 1767 1874 2356 2811 3534 3748 5301 5622 7068 8433 10602 11244 16866 17803 21204 29047 33732 35606 53409 58094 71212 87141 106818 116188 160227 174282 213636 261423 320454 348564 522846 551893 640908 1045692 1103786 1655679 2207572 3311358 4967037 6622716 9934074 19868148