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18942420 = 22357217379
BaseRepresentation
bin100100001000…
…0100111010100
31022122101010010
41020100213110
514322124140
61514000220
7320002500
oct110204724
938571103
1018942420
11a7687a2
126416070
133c02c43
142731300
1519e2880
hex12109d4

18942420 has 144 divisors (see below), whose sum is σ = 65499840. Its totient is φ = 4064256.

The previous prime is 18942419. The next prime is 18942439. The reversal of 18942420 is 2424981.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49791 + ... + 50169.

It is an arithmetic number, because the mean of its divisors is an integer number (454860).

Almost surely, 218942420 is an apocalyptic number.

18942420 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 18942420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32749920).

18942420 is an abundant number, since it is smaller than the sum of its proper divisors (46557420).

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

18942420 is a wasteful number, since it uses less digits than its factorization.

18942420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 18942420 is about 4352.2890529008. The cubic root of 18942420 is about 266.5703367340.

The spelling of 18942420 in words is "eighteen million, nine hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 49 51 60 68 70 84 85 98 102 105 119 140 147 170 196 204 210 238 245 255 294 340 357 379 420 476 490 510 588 595 714 735 758 833 980 1020 1137 1190 1428 1470 1516 1666 1785 1895 2274 2380 2499 2653 2940 3332 3570 3790 4165 4548 4998 5306 5685 6443 7140 7580 7959 8330 9996 10612 11370 12495 12886 13265 15918 16660 18571 19329 22740 24990 25772 26530 31836 32215 37142 38658 39795 45101 49980 53060 55713 64430 74284 77316 79590 90202 92855 96645 111426 128860 135303 159180 180404 185710 193290 222852 225505 270606 278565 315707 371420 386580 451010 541212 557130 631414 676515 902020 947121 1114260 1262828 1353030 1578535 1894242 2706060 3157070 3788484 4735605 6314140 9471210 18942420