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696320640 = 27325120889
BaseRepresentation
bin101001100000010…
…000001010000000
31210112020202100100
4221200100022000
52411224230030
6153032322400
723153425221
oct5140201200
91715222310
10696320640
11328067004
12175243400
13b1351762
146869b248
15411e7360
hex29810280

696320640 has 96 divisors (see below), whose sum is σ = 2404502100. Its totient is φ = 185683968.

The previous prime is 696320627. The next prime is 696320659. The reversal of 696320640 is 46023696.

696320640 is a `hidden beast` number, since 6 + 9 + 6 + 3 + 2 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 695693376 + 627264 = 26376^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 = 696320595 and 696320604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54685 + ... + 66204.

Almost surely, 2696320640 is an apocalyptic number.

696320640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

696320640 is an abundant number, since it is smaller than the sum of its proper divisors (1708181460).

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

696320640 is a wasteful number, since it uses less digits than its factorization.

696320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120914 (or 120899 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 696320640 is about 26387.8881307315. Note that the first 3 decimals coincide. The cubic root of 696320640 is about 886.3455926325.

The spelling of 696320640 in words is "six hundred ninety-six million, three hundred twenty thousand, six hundred 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 120889 241778 362667 483556 604445 725334 967112 1088001 1208890 1450668 1813335 1934224 2176002 2417780 2901336 3626670 3868448 4352004 4835560 5440005 5802672 7253340 7736896 8704008 9671120 10880010 11605344 14506680 15473792 17408016 19342240 21760020 23210688 29013360 34816032 38684480 43520040 46421376 58026720 69632064 77368960 87040080 116053440 139264128 174080160 232106880 348160320 696320640