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18989964 = 223572791
BaseRepresentation
bin100100001110…
…0001110001100
31022201210100000
41020130032030
514330134324
61515004300
7320261220
oct110341614
938653300
1018989964
11a7a0494
126439690
133c1b786
142744780
151a019c9
hex121c38c

18989964 has 72 divisors (see below), whose sum is σ = 56912128. Its totient is φ = 5423760.

The previous prime is 18989959. The next prime is 18990017. The reversal of 18989964 is 46998981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18989964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5409 + ... + 8199.

Almost surely, 218989964 is an apocalyptic number.

18989964 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 18989964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28456064).

18989964 is an abundant number, since it is smaller than the sum of its proper divisors (37922164).

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

18989964 is a wasteful number, since it uses less digits than its factorization.

18989964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2803 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 18989964 is about 4357.7475833279. The cubic root of 18989964 is about 266.7931740029.

It can be divided in two parts, 189 and 89964, that multiplied together give a triangular number (17003196 = T5831).

The spelling of 18989964 in words is "eighteen million, nine hundred eighty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 2791 3402 5582 6804 8373 11164 16746 19537 25119 33492 39074 50238 58611 75357 78148 100476 117222 150714 175833 226071 234444 301428 351666 452142 527499 678213 703332 904284 1054998 1356426 1582497 2109996 2712852 3164994 4747491 6329988 9494982 18989964