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682422420 = 223523499991
BaseRepresentation
bin101000101011001…
…111000010010100
31202120002122120110
4220223033002110
52344200004140
6151414403020
722624331511
oct5053170224
91676078513
10682422420
11320234079
12170660470
13ab4c6764
14668c0308
153ed9e380
hex28acf094

682422420 has 96 divisors (see below), whose sum is σ = 1999872000. Its totient is φ = 173543040.

The previous prime is 682422383. The next prime is 682422439. The reversal of 682422420 is 24224286.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 688125 + ... + 689115.

It is an arithmetic number, because the mean of its divisors is an integer number (20832000).

Almost surely, 2682422420 is an apocalyptic number.

682422420 is a gapful number since it is divisible by the number (60) 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 682422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936000).

682422420 is an abundant number, since it is smaller than the sum of its proper divisors (1317449580).

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

682422420 is a wasteful number, since it uses less digits than its factorization.

682422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 682422420 is about 26123.2161113443. The cubic root of 682422420 is about 880.4089094806.

The spelling of 682422420 in words is "six hundred eighty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 499 690 991 998 1380 1497 1982 1996 2495 2973 2994 3964 4955 4990 5946 5988 7485 9910 9980 11477 11892 14865 14970 19820 22793 22954 29730 29940 34431 45586 45908 57385 59460 68379 68862 91172 113965 114770 136758 137724 172155 227930 229540 273516 341895 344310 455860 494509 683790 688620 989018 1367580 1483527 1978036 2472545 2967054 4945090 5934108 7417635 9890180 11373707 14835270 22747414 29670540 34121121 45494828 56868535 68242242 113737070 136484484 170605605 227474140 341211210 682422420