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103283264 = 267415623
BaseRepresentation
bin1100010011111…
…11101001000000
321012100100000002
412021333221000
5202420031024
614125415132
72362615250
oct611775100
9235310002
10103283264
1153334277
122a70a4a8
1318523076
14da07960
1591026ae
hex627fa40

103283264 has 56 divisors (see below), whose sum is σ = 239987328. Its totient is φ = 43176960.

The previous prime is 103283263. The next prime is 103283287. The reversal of 103283264 is 462382301.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103283263) 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 7 ways as a sum of consecutive naturals, for example, 15557 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (4285488).

Almost surely, 2103283264 is an apocalyptic number.

103283264 is a gapful number since it is divisible by the number (14) 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 103283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119993664).

103283264 is an abundant number, since it is smaller than the sum of its proper divisors (136704064).

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

103283264 is an equidigital number, since it uses as much as digits as its factorization.

103283264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5673 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 103283264 is about 10162.8373990732. The cubic root of 103283264 is about 469.1841345945.

The spelling of 103283264 in words is "one hundred three million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 5623 9184 11246 18368 22492 39361 44984 78722 89968 157444 179936 230543 314888 359872 461086 629776 922172 1259552 1613801 1844344 2519104 3227602 3688688 6455204 7377376 12910408 14754752 25820816 51641632 103283264