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18909440 = 285111779
BaseRepresentation
bin100100000100…
…0100100000000
31022120200212122
41020020210000
514320100230
61513143412
7316504364
oct110104400
938520778
1018909440
11a745a40
1263bab68
133bc0c24
1427232a4
1519d7be5
hex1208900

18909440 has 144 divisors (see below), whose sum is σ = 52980480. Its totient is φ = 6389760.

The previous prime is 18909431. The next prime is 18909469. The reversal of 18909440 is 4490981.

It is a super-2 number, since 2×189094402 = 715133842227200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18909440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239321 + ... + 239399.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 218909440 is an apocalyptic number.

18909440 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 18909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26490240).

18909440 is an abundant number, since it is smaller than the sum of its proper divisors (34071040).

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

18909440 is a wasteful number, since it uses less digits than its factorization.

18909440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 18909440 is about 4348.4985914681. The cubic root of 18909440 is about 266.4155413623.

The spelling of 18909440 in words is "eighteen million, nine hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 79 80 85 88 110 128 136 158 160 170 176 187 220 256 272 316 320 340 352 374 395 440 544 632 640 680 704 748 790 869 880 935 1088 1264 1280 1343 1360 1408 1496 1580 1738 1760 1870 2176 2528 2686 2720 2816 2992 3160 3476 3520 3740 4345 4352 5056 5372 5440 5984 6320 6715 6952 7040 7480 8690 10112 10744 10880 11968 12640 13430 13904 14080 14773 14960 17380 20224 21488 21760 23936 25280 26860 27808 29546 29920 34760 42976 47872 50560 53720 55616 59092 59840 69520 73865 85952 101120 107440 111232 118184 119680 139040 147730 171904 214880 222464 236368 239360 278080 295460 343808 429760 472736 556160 590920 859520 945472 1112320 1181840 1719040 1890944 2363680 3781888 4727360 9454720 18909440