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18740480 = 285114
BaseRepresentation
bin100011101111…
…1010100000000
31022021010002212
41013133110000
514244143410
61505401252
7315201653
oct107372400
938233085
1018740480
11a640000
126339228
133b62055
1426bb89a
1519a2b05
hex11df500

18740480 has 90 divisors (see below), whose sum is σ = 49377930. Its totient is φ = 6814720.

The previous prime is 18740473. The next prime is 18740483. The reversal of 18740480 is 8404781.

It can be written as a sum of positive squares in only one way, i.e., 14992384 + 3748096 = 3872^2 + 1936^2 .

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18740483) 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 9 ways as a sum of consecutive naturals, for example, 1703675 + ... + 1703685.

Almost surely, 218740480 is an apocalyptic number.

18740480 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 18740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688965).

18740480 is an abundant number, since it is smaller than the sum of its proper divisors (30637450).

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

18740480 is an frugal number, since it uses more digits than its factorization.

18740480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 18740480 is about 4329.0276044396. The cubic root of 18740480 is about 265.6196724191.

The spelling of 18740480 in words is "eighteen million, seven hundred forty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 605 640 704 880 968 1210 1280 1331 1408 1760 1936 2420 2662 2816 3520 3872 4840 5324 6655 7040 7744 9680 10648 13310 14080 14641 15488 19360 21296 26620 29282 30976 38720 42592 53240 58564 73205 77440 85184 106480 117128 146410 154880 170368 212960 234256 292820 340736 425920 468512 585640 851840 937024 1171280 1703680 1874048 2342560 3748096 4685120 9370240 18740480