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680001420 = 223572231293
BaseRepresentation
bin101000100001111…
…111111110001100
31202101112122120210
4220201333332030
52343040021140
6151250442420
722564626300
oct5041777614
91671478523
10680001420
1131993014a
1216b893410
13aab59807
146644dd00
153ea71d80
hex2887ff8c

680001420 has 72 divisors (see below), whose sum is σ = 2214871344. Its totient is φ = 155428224.

The previous prime is 680001403. The next prime is 680001449. The reversal of 680001420 is 24100086.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112707 + ... + 118586.

It is an arithmetic number, because the mean of its divisors is an integer number (30762102).

Almost surely, 2680001420 is an apocalyptic number.

680001420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680001420 is an abundant number, since it is smaller than the sum of its proper divisors (1534869924).

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

680001420 is a wasteful number, since it uses less digits than its factorization.

680001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231319 (or 231310 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 680001420 is about 26076.8368480535. The cubic root of 680001420 is about 879.3665465389.

The spelling of 680001420 in words is "six hundred eighty million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 231293 462586 693879 925172 1156465 1387758 1619051 2312930 2775516 3238102 3469395 4625860 4857153 6476204 6938790 8095255 9714306 11333357 13877580 16190510 19428612 22666714 24285765 32381020 34000071 45333428 48571530 56666785 68000142 97143060 113333570 136000284 170000355 226667140 340000710 680001420