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679703040 = 2932529501
BaseRepresentation
bin101000100000110…
…111001000000000
31202100222111021200
4220200313020000
52343000444130
6151240221200
722562244342
oct5040671000
91670874250
10679703040
11319746a55
1216b76a800
13aaa83a63
14663b3292
153ea13760
hex28837200

679703040 has 120 divisors (see below), whose sum is σ = 2354082588. Its totient is φ = 181248000.

The previous prime is 679703039. The next prime is 679703099. The reversal of 679703040 is 40307976.

It can be written as a sum of positive squares in 2 ways, for example, as 669360384 + 10342656 = 25872^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 679702986 and 679703004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8290 + ... + 37790.

Almost surely, 2679703040 is an apocalyptic number.

679703040 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 679703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177041294).

679703040 is an abundant number, since it is smaller than the sum of its proper divisors (1674379548).

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

679703040 is a wasteful number, since it uses less digits than its factorization.

679703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29530 (or 29511 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 679703040 is about 26071.1150509525. The cubic root of 679703040 is about 879.2379077010.

The spelling of 679703040 in words is "six hundred seventy-nine million, seven hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 29501 59002 88503 118004 147505 177006 236008 265509 295010 354012 442515 472016 531018 590020 708024 885030 944032 1062036 1180040 1327545 1416048 1770060 1888064 2124072 2360080 2655090 2832096 3540120 3776128 4248144 4720160 5310180 5664192 7080240 7552256 8496288 9440320 10620360 11328384 14160480 15104512 16992576 18880640 21240720 22656768 28320960 33985152 37761280 42481440 45313536 56641920 67970304 75522560 84962880 113283840 135940608 169925760 226567680 339851520 679703040