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20174002420 = 225111323306689
BaseRepresentation
bin10010110010011101…
…101101100011110100
31221001221221111200211
4102302131231203310
5312304021034140
613133502515204
71312634122405
oct226235554364
957057844624
1020174002420
118612775680
123ab0295b04
131b9675b950
14d9545b9ac
157d118c2ea
hex4b276d8f4

20174002420 has 96 divisors (see below), whose sum is σ = 51936111360. Its totient is φ = 6477250560.

The previous prime is 20174002369. The next prime is 20174002427. The reversal of 20174002420 is 2420047102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20174002391 and 20174002400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20174002427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87565 + ... + 219124.

It is an arithmetic number, because the mean of its divisors is an integer number (541001160).

Almost surely, 220174002420 is an apocalyptic number.

20174002420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20174002420 is an abundant number, since it is smaller than the sum of its proper divisors (31762108940).

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

20174002420 is a wasteful number, since it uses less digits than its factorization.

20174002420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306745 (or 306743 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

Adding to 20174002420 its reverse (2420047102), we get a palindrome (22594049522).

The spelling of 20174002420 in words is "twenty billion, one hundred seventy-four million, two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 23 26 44 46 52 55 65 92 110 115 130 143 220 230 253 260 286 299 460 506 572 598 715 1012 1196 1265 1430 1495 2530 2860 2990 3289 5060 5980 6578 13156 16445 32890 65780 306689 613378 1226756 1533445 3066890 3373579 3986957 6133780 6747158 7053847 7973914 13494316 14107694 15947828 16867895 19934785 28215388 33735790 35269235 39869570 43856527 67471580 70538470 77592317 79739140 87713054 91700011 141076940 155184634 175426108 183400022 219282635 310369268 366800044 387961585 438565270 458500055 775923170 877130540 917000110 1008700121 1551846340 1834000220 2017400242 4034800484 5043500605 10087001210 20174002420