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396829680 = 243513127189
BaseRepresentation
bin10111101001110…
…010001111110000
31000122201000222120
4113221302033300
51303042022210
6103213234240
712555665562
oct2751621760
91018630876
10396829680
11194000015
12b0a92980
13642a1580
143a9bb332
1524c89270
hex17a723f0

396829680 has 80 divisors (see below), whose sum is σ = 1324811040. Its totient is φ = 97680384.

The previous prime is 396829673. The next prime is 396829703. The reversal of 396829680 is 86928693.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60475 + ... + 66714.

It is an arithmetic number, because the mean of its divisors is an integer number (16560138).

Almost surely, 2396829680 is an apocalyptic number.

396829680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

396829680 is an abundant number, since it is smaller than the sum of its proper divisors (927981360).

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

396829680 is a wasteful number, since it uses less digits than its factorization.

396829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127218 (or 127212 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 396829680 is about 19920.5843287791. The cubic root of 396829680 is about 734.8545410702.

The spelling of 396829680 in words is "three hundred ninety-six million, eight hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 127189 254378 381567 508756 635945 763134 1017512 1271890 1526268 1653457 1907835 2035024 2543780 3052536 3306914 3815670 4960371 5087560 6105072 6613828 7631340 8267285 9920742 10175120 13227656 15262680 16534570 19841484 24801855 26455312 30525360 33069140 39682968 49603710 66138280 79365936 99207420 132276560 198414840 396829680