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18749680 = 245713301
BaseRepresentation
bin100011110000…
…1100011110000
31022021120201121
41013201203300
514244442210
61505512024
7315240535
oct107414360
938246647
1018749680
11a646a04
126342614
133b662b1
1426c0d8c
1519a56da
hex11e18f0

18749680 has 40 divisors (see below), whose sum is σ = 44220384. Its totient is φ = 7392000.

The previous prime is 18749659. The next prime is 18749681. The reversal of 18749680 is 8694781.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18749681) 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, 4030 + ... + 7330.

Almost surely, 218749680 is an apocalyptic number.

18749680 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 18749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110192).

18749680 is an abundant number, since it is smaller than the sum of its proper divisors (25470704).

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

18749680 is a wasteful number, since it uses less digits than its factorization.

18749680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 18749680 is about 4330.0900683473. The cubic root of 18749680 is about 265.6631309504.

The spelling of 18749680 in words is "eighteen million, seven hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 3301 5680 6602 13204 16505 26408 33010 52816 66020 132040 234371 264080 468742 937484 1171855 1874968 2343710 3749936 4687420 9374840 18749680