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19010420 = 225111317223
BaseRepresentation
bin100100010000…
…1001101110100
31022202211101122
41020201031310
514331313140
61515243112
7320404652
oct110411564
938684348
1019010420
11a8048a0
126449498
133c27b90
14274bdd2
151a07ab5
hex1221374

19010420 has 144 divisors (see below), whose sum is σ = 51988608. Its totient is φ = 5744640.

The previous prime is 19010413. The next prime is 19010423. The reversal of 19010420 is 2401091.

It is a happy number.

It is a super-2 number, since 2×190104202 = 722792137152800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19010423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 826529 + ... + 826551.

It is an arithmetic number, because the mean of its divisors is an integer number (361032).

Almost surely, 219010420 is an apocalyptic number.

19010420 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 19010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994304).

19010420 is an abundant number, since it is smaller than the sum of its proper divisors (32978188).

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

19010420 is a wasteful number, since it uses less digits than its factorization.

19010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 19010420 is about 4360.0940356832. The cubic root of 19010420 is about 266.8889362122. Note that the first 3 decimals are identical.

19010420 divided by its sum of digits (17) gives a triangular number (1118260 = T1495).

The spelling of 19010420 in words is "nineteen million, ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 17 20 22 23 26 34 44 46 52 55 65 68 85 92 110 115 130 143 170 187 220 221 230 253 260 286 289 299 340 374 391 442 460 506 572 578 598 715 748 782 884 935 1012 1105 1156 1196 1265 1430 1445 1495 1564 1870 1955 2210 2431 2530 2860 2890 2990 3179 3289 3740 3757 3910 4301 4420 4862 5060 5083 5780 5980 6358 6578 6647 7514 7820 8602 9724 10166 12155 12716 13156 13294 15028 15895 16445 17204 18785 20332 21505 24310 25415 26588 31790 32890 33235 37570 41327 43010 48620 50830 55913 63580 65780 66470 73117 75140 82654 86020 86411 101660 111826 132940 146234 165308 172822 206635 223652 279565 292468 345644 365585 413270 432055 559130 731170 826540 864110 950521 1118260 1462340 1728220 1901042 3802084 4752605 9505210 19010420