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18923480 = 2352367307
BaseRepresentation
bin100100000101…
…1111111011000
31022121102010122
41020023333120
514321022410
61513332412
7316563332
oct110137730
938542118
1018923480
11a755544
126407108
133bc7434
142728452
1519dbe55
hex120bfd8

18923480 has 64 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 7108992.

The previous prime is 18923477. The next prime is 18923497. The reversal of 18923480 is 8432981.

It is a happy number.

It is a super-3 number, since 3×189234803 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 18923480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61487 + ... + 61793.

It is an arithmetic number, because the mean of its divisors is an integer number (706860).

Almost surely, 218923480 is an apocalyptic number.

18923480 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 18923480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

18923480 is an abundant number, since it is smaller than the sum of its proper divisors (26315560).

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

18923480 is a wasteful number, since it uses less digits than its factorization.

18923480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 18923480 is about 4350.1126422197. The cubic root of 18923480 is about 266.4814616792.

The spelling of 18923480 in words is "eighteen million, nine hundred twenty-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 46 67 92 115 134 184 230 268 307 335 460 536 614 670 920 1228 1340 1535 1541 2456 2680 3070 3082 6140 6164 7061 7705 12280 12328 14122 15410 20569 28244 30820 35305 41138 56488 61640 70610 82276 102845 141220 164552 205690 282440 411380 473087 822760 946174 1892348 2365435 3784696 4730870 9461740 18923480