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18189920 = 2557109149
BaseRepresentation
bin100010101100…
…0111001100000
31021020010212202
41011120321200
514124034140
61445512332
7310416560
oct105307140
937203782
1018189920
11a2a43a1
1261126a8
1339cb588
1425b6da0
1518e4915
hex1158e60

18189920 has 96 divisors (see below), whose sum is σ = 49896000. Its totient is φ = 6137856.

The previous prime is 18189917. The next prime is 18189923. The reversal of 18189920 is 2998181.

It is an interprime number because it is at equal distance from previous prime (18189917) and next prime (18189923).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18189923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122006 + ... + 122154.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 218189920 is an apocalyptic number.

18189920 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 18189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948000).

18189920 is an abundant number, since it is smaller than the sum of its proper divisors (31706080).

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

18189920 is a wasteful number, since it uses less digits than its factorization.

18189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 38.

The square root of 18189920 is about 4264.9642436954. The cubic root of 18189920 is about 262.9926410062.

The spelling of 18189920 in words is "eighteen million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 109 112 140 149 160 218 224 280 298 436 545 560 596 745 763 872 1043 1090 1120 1192 1490 1526 1744 2086 2180 2384 2980 3052 3488 3815 4172 4360 4768 5215 5960 6104 7630 8344 8720 10430 11920 12208 15260 16241 16688 17440 20860 23840 24416 30520 32482 33376 41720 61040 64964 81205 83440 113687 122080 129928 162410 166880 227374 259856 324820 454748 519712 568435 649640 909496 1136870 1299280 1818992 2273740 2598560 3637984 4547480 9094960 18189920