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18213696 = 2632103307
BaseRepresentation
bin100010101111…
…0101101000000
31021021100111100
41011132231000
514130314241
61450214400
7310546104
oct105365500
937240440
1018213696
11a310246
126124400
133a09347
1425c1904
1518eb9b6
hex115eb40

18213696 has 84 divisors (see below), whose sum is σ = 52884832. Its totient is φ = 5992704.

The previous prime is 18213667. The next prime is 18213703. The reversal of 18213696 is 69631281.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 18213696.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59175 + ... + 59481.

Almost surely, 218213696 is an apocalyptic number.

18213696 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 18213696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26442416).

18213696 is an abundant number, since it is smaller than the sum of its proper divisors (34671136).

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

18213696 is a wasteful number, since it uses less digits than its factorization.

18213696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 18213696 is about 4267.7506956241. The cubic root of 18213696 is about 263.1071767971.

The spelling of 18213696 in words is "eighteen million, two hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 144 192 206 288 307 309 412 576 614 618 824 921 927 1228 1236 1648 1842 1854 2456 2472 2763 3296 3684 3708 4912 4944 5526 6592 7368 7416 9824 9888 11052 14736 14832 19648 19776 22104 29472 29664 31621 44208 58944 59328 63242 88416 94863 126484 176832 189726 252968 284589 379452 505936 569178 758904 1011872 1138356 1517808 2023744 2276712 3035616 4553424 6071232 9106848 18213696