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18699680 = 255731601
BaseRepresentation
bin100011101010…
…1010110100000
31022012001010202
41013111112200
514241342210
61504444332
7314642006
oct107252640
938161122
1018699680
11a61238a
1263196a8
133b495cc
1426aaa76
1519959a5
hex11d55a0

18699680 has 48 divisors (see below), whose sum is σ = 44811144. Its totient is φ = 7372800.

The previous prime is 18699647. The next prime is 18699683. The reversal of 18699680 is 8699681.

It can be written as a sum of positive squares in 4 ways, for example, as 18627856 + 71824 = 4316^2 + 268^2 .

It is not an unprimeable number, because it can be changed into a prime (18699683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10880 + ... + 12480.

Almost surely, 218699680 is an apocalyptic number.

18699680 is a gapful number since it is divisible by the number (10) 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 18699680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22405572).

18699680 is an abundant number, since it is smaller than the sum of its proper divisors (26111464).

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

18699680 is a wasteful number, since it uses less digits than its factorization.

18699680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 47.

The square root of 18699680 is about 4324.3126621464. The cubic root of 18699680 is about 265.4267716895.

Subtracting from 18699680 its reverse (8699681), we obtain a palindrome (9999999).

The spelling of 18699680 in words is "eighteen million, six hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 1601 2336 2920 3202 5840 6404 8005 11680 12808 16010 25616 32020 51232 64040 116873 128080 233746 256160 467492 584365 934984 1168730 1869968 2337460 3739936 4674920 9349840 18699680