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18990336 = 28379313
BaseRepresentation
bin100100001110…
…0010100000000
31022201210211210
41020130110000
514330142321
61515010120
7320262261
oct110342400
938653753
1018990336
11a7a07a2
126439940
133c1b9b1
142744968
151a01b76
hex121c500

18990336 has 72 divisors (see below), whose sum is σ = 51345280. Its totient is φ = 6230016.

The previous prime is 18990313. The next prime is 18990353. The reversal of 18990336 is 63309981.

It is a super-2 number, since 2×189903362 = 721265722785792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18990294 and 18990303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60516 + ... + 60828.

Almost surely, 218990336 is an apocalyptic number.

18990336 is a gapful number since it is divisible by the number (16) 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 18990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25672640).

18990336 is an abundant number, since it is smaller than the sum of its proper divisors (32354944).

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

18990336 is an equidigital number, since it uses as much as digits as its factorization.

18990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 18990336 is about 4357.7902657195. The cubic root of 18990336 is about 266.7949160882.

It can be divided in two parts, 189 and 90336, that added together give a triangular number (90525 = T425).

The spelling of 18990336 in words is "eighteen million, nine hundred ninety thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 313 316 384 474 626 632 768 939 948 1252 1264 1878 1896 2504 2528 3756 3792 5008 5056 7512 7584 10016 10112 15024 15168 20032 20224 24727 30048 30336 40064 49454 60096 60672 74181 80128 98908 120192 148362 197816 240384 296724 395632 593448 791264 1186896 1582528 2373792 3165056 4747584 6330112 9495168 18990336