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1064282940 = 2232572671801
BaseRepresentation
bin111111011011111…
…010101100111100
32202011122011201200
4333123322230330
54134424023230
6253335135500
735242153500
oct7733725474
92664564650
101064282940
114a683a586
12258514590
1313c656726
14a14c2300
156367d160
hex3f6fab3c

1064282940 has 216 divisors, whose sum is σ = 3813565392. Its totient is φ = 239500800.

The previous prime is 1064282897. The next prime is 1064282953. The reversal of 1064282940 is 492824601.

1064282940 is a `hidden beast` number, since 1 + 0 + 642 + 8 + 2 + 9 + 4 + 0 = 666.

It is a super-2 number, since 2×10642829402 = 2265396352750087200, which contains 22 as substring.

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 = 1064282895 and 1064282904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 590040 + ... + 591840.

Almost surely, 21064282940 is an apocalyptic number.

1064282940 is a gapful number since it is divisible by the number (10) 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 1064282940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906782696).

1064282940 is an abundant number, since it is smaller than the sum of its proper divisors (2749282452).

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

1064282940 is a wasteful number, since it uses less digits than its factorization.

1064282940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1885 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1064282940 is about 32623.3496134287. The cubic root of 1064282940 is about 1020.9842287599.

The spelling of 1064282940 in words is "one billion, sixty-four million, two hundred eighty-two thousand, nine hundred forty".