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18974016 = 263232941
BaseRepresentation
bin100100001100…
…0010101000000
31022200222110100
41020120111000
514324132031
61514402400
7320163555
oct110302500
938628410
1018974016
11a78a506
126430400
133c14439
14273ca2c
1519ebde6
hex1218540

18974016 has 42 divisors (see below), whose sum is σ = 54387242. Its totient is φ = 6324480.

The previous prime is 18974009. The next prime is 18974017. The reversal of 18974016 is 61047981.

It can be written as a sum of positive squares in only one way, i.e., 18455616 + 518400 = 4296^2 + 720^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18974017) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 15895 + ... + 17046.

Almost surely, 218974016 is an apocalyptic number.

18974016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

18974016 is an abundant number, since it is smaller than the sum of its proper divisors (35413226).

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

18974016 is a wasteful number, since it uses less digits than its factorization.

18974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32959 (or 32946 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 18974016 is about 4355.9173545879. The cubic root of 18974016 is about 266.7184677146.

The spelling of 18974016 in words is "eighteen million, nine hundred seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 32941 65882 98823 131764 197646 263528 296469 395292 527056 592938 790584 1054112 1185876 1581168 2108224 2371752 3162336 4743504 6324672 9487008 18974016