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103264056 = 23327331619
BaseRepresentation
bin1100010011110…
…10111100111000
321012022100122200
412021322330320
5202413422211
614125150200
72362505250
oct611727470
9235270580
10103264056
11533208a5
122a6bb360
13185173bc
14da00960
1590ebb56
hex627af38

103264056 has 96 divisors (see below), whose sum is σ = 321110400. Its totient is φ = 29367360.

The previous prime is 103264039. The next prime is 103264111. The reversal of 103264056 is 650462301.

103264056 is a `hidden beast` number, since 10 + 3 + 2 + 640 + 5 + 6 = 666.

It is a super-2 number, since 2×1032640562 = 21326930523142272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166515 + ... + 167133.

It is an arithmetic number, because the mean of its divisors is an integer number (3344900).

Almost surely, 2103264056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103264056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160555200).

103264056 is an abundant number, since it is smaller than the sum of its proper divisors (217846344).

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

103264056 is a wasteful number, since it uses less digits than its factorization.

103264056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 103264056 is about 10161.8923434565. The cubic root of 103264056 is about 469.1550474439.

The spelling of 103264056 in words is "one hundred three million, two hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 331 504 619 662 993 1238 1324 1857 1986 2317 2476 2648 2979 3714 3972 4333 4634 4952 5571 5958 6951 7428 7944 8666 9268 11142 11916 12999 13902 14856 17332 18536 20853 22284 23832 25998 27804 34664 38997 41706 44568 51996 55608 77994 83412 103992 155988 166824 204889 311976 409778 614667 819556 1229334 1434223 1639112 1844001 2458668 2868446 3688002 4302669 4917336 5736892 7376004 8605338 11473784 12908007 14752008 17210676 25816014 34421352 51632028 103264056