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18380480 = 26571809
BaseRepresentation
bin100011000011…
…1011011000000
31021120211021112
41012013123000
514201133410
61453542452
7312142256
oct106073300
937524245
1018380480
11a414588
1261a4a28
133a67231
1426265d6
151931105
hex11876c0

18380480 has 56 divisors (see below), whose sum is σ = 44439840. Its totient is φ = 7239680.

The previous prime is 18380471. The next prime is 18380497. The reversal of 18380480 is 8408381.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22316 + ... + 23124.

Almost surely, 218380480 is an apocalyptic number.

18380480 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 18380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219920).

18380480 is an abundant number, since it is smaller than the sum of its proper divisors (26059360).

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

18380480 is an equidigital number, since it uses as much as digits as its factorization.

18380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 18380480 is about 4287.2462024008. The cubic root of 18380480 is about 263.9078343718.

The spelling of 18380480 in words is "eighteen million, three hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 142 160 284 320 355 568 710 809 1136 1420 1618 2272 2840 3236 4045 4544 5680 6472 8090 11360 12944 16180 22720 25888 32360 51776 57439 64720 114878 129440 229756 258880 287195 459512 574390 919024 1148780 1838048 2297560 3676096 4595120 9190240 18380480