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18972760 = 235474319
BaseRepresentation
bin100100001100…
…0000001011000
31022200220201211
41020120001120
514324112020
61514352504
7320160112
oct110300130
938626654
1018972760
11a789574
12642b734
133c139b1
14273c3b2
1519eb85a
hex1218058

18972760 has 16 divisors (see below), whose sum is σ = 42688800. Its totient is φ = 7589088.

The previous prime is 18972727. The next prime is 18972797. The reversal of 18972760 is 6727981.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 474319 = 18972760 / (1 + 8 + 9 + 7 + 2 + 7 + 6 + 0).

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 3 ways as a sum of consecutive naturals, for example, 237120 + ... + 237199.

It is an arithmetic number, because the mean of its divisors is an integer number (2668050).

Almost surely, 218972760 is an apocalyptic number.

18972760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18972760 is an abundant number, since it is smaller than the sum of its proper divisors (23716040).

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

18972760 is a wasteful number, since it uses less digits than its factorization.

18972760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474330 (or 474326 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 18972760 is about 4355.7731805042. The cubic root of 18972760 is about 266.7125823714.

The spelling of 18972760 in words is "eighteen million, nine hundred seventy-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 474319 948638 1897276 2371595 3794552 4743190 9486380 18972760