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18740430 = 2335312239
BaseRepresentation
bin100011101111…
…1010011001110
31022021010001000
41013133103032
514244143210
61505401130
7315201552
oct107372316
938233030
1018740430
11a63aa65
1263391a6
133b62017
1426bb862
1519a2ac0
hex11df4ce

18740430 has 64 divisors (see below), whose sum is σ = 51609600. Its totient is φ = 4834080.

The previous prime is 18740411. The next prime is 18740431. The reversal of 18740430 is 3404781.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 18740394 and 18740403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18740431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7251 + ... + 9489.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 218740430 is an apocalyptic number.

18740430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18740430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25804800).

18740430 is an abundant number, since it is smaller than the sum of its proper divisors (32869170).

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

18740430 is a wasteful number, since it uses less digits than its factorization.

18740430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 18740430 is about 4329.0218294668. The cubic root of 18740430 is about 265.6194361926.

The spelling of 18740430 in words is "eighteen million, seven hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2239 2790 4185 4478 6717 8370 11195 13434 20151 22390 33585 40302 60453 67170 69409 100755 120906 138818 201510 208227 302265 347045 416454 604530 624681 694090 1041135 1249362 1874043 2082270 3123405 3748086 6246810 9370215 18740430