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1320472656 = 243260715107
BaseRepresentation
bin100111010110100…
…1101000001010000
310102000200221221200
41032231031001100
510201020111111
6335010151200
744502555336
oct11655150120
93360627850
101320472656
11618410718
1230a282500
13180755589
14c752db56
157add6256
hex4eb4d050

1320472656 has 60 divisors (see below), whose sum is σ = 3701822592. Its totient is φ = 439403328.

The previous prime is 1320472651. The next prime is 1320472663. The reversal of 1320472656 is 6562740231.

1320472656 is a `hidden beast` number, since 132 + 0 + 472 + 6 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1320472656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320472651) 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, 79855 + ... + 94961.

Almost surely, 21320472656 is an apocalyptic number.

1320472656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1320472656 is the 19424-th nonagonal number.

It is an amenable number.

1320472656 is an abundant number, since it is smaller than the sum of its proper divisors (2381349936).

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

1320472656 is a wasteful number, since it uses less digits than its factorization.

1320472656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15728 (or 15719 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1320472656 is about 36338.3083811011. The cubic root of 1320472656 is about 1097.0922255048.

The spelling of 1320472656 in words is "one billion, three hundred twenty million, four hundred seventy-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 607 1214 1821 2428 3642 4856 5463 7284 9712 10926 14568 15107 21852 29136 30214 43704 45321 60428 87408 90642 120856 135963 181284 241712 271926 362568 543852 725136 1087704 2175408 9169949 18339898 27509847 36679796 55019694 73359592 82529541 110039388 146719184 165059082 220078776 330118164 440157552 660236328 1320472656