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682429680 = 24325947819
BaseRepresentation
bin101000101011010…
…000110011110000
31202120010000112100
4220223100303300
52344200222210
6151414500400
722624361622
oct5053206360
91676100470
10682429680
11320239579
12170664700
13ab4c9b5a
14668c2c12
153eda15c0
hex28ad0cf0

682429680 has 60 divisors (see below), whose sum is σ = 2291828760. Its totient is φ = 181981056.

The previous prime is 682429667. The next prime is 682429687. The reversal of 682429680 is 86924286.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682429687) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 473190 + ... + 474629.

It is an arithmetic number, because the mean of its divisors is an integer number (38197146).

Almost surely, 2682429680 is an apocalyptic number.

682429680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682429680 is an abundant number, since it is smaller than the sum of its proper divisors (1609399080).

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

682429680 is a wasteful number, since it uses less digits than its factorization.

682429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947838 (or 947829 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 682429680 is about 26123.3550678315. The cubic root of 682429680 is about 880.4120315673.

The spelling of 682429680 in words is "six hundred eighty-two million, four hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 947819 1895638 2843457 3791276 4739095 5686914 7582552 8530371 9478190 11373828 14217285 15165104 17060742 18956380 22747656 28434570 34121484 37912760 42651855 45495312 56869140 68242968 75825520 85303710 113738280 136485936 170607420 227476560 341214840 682429680