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1064723940 = 223557217263
BaseRepresentation
bin111111011101100…
…110010111100100
32202012110120200000
4333131212113210
54140032131230
6253352421300
735246001300
oct7735462744
92665416600
101064723940
114a7010945
122586a7830
1313c77c387
14a1598d00
1563718b60
hex3f7665e4

1064723940 has 432 divisors, whose sum is σ = 4140968832. Its totient is φ = 228178944.

The previous prime is 1064723939. The next prime is 1064723941. The reversal of 1064723940 is 493274601.

1064723940 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 3 + 9 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1064723939) and next prime (1064723941).

It is a super-2 number, since 2×10647239402 = 2267274136818247200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1064723895 and 1064723904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064723941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4048249 + ... + 4048511.

It is an arithmetic number, because the mean of its divisors is an integer number (9585576).

Almost surely, 21064723940 is an apocalyptic number.

1064723940 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 1064723940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070484416).

1064723940 is an abundant number, since it is smaller than the sum of its proper divisors (3076244892).

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

1064723940 is a wasteful number, since it uses less digits than its factorization.

1064723940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1064723940 is about 32630.1078760092. The cubic root of 1064723940 is about 1021.1252288182.

The spelling of 1064723940 in words is "one billion, sixty-four million, seven hundred twenty-three thousand, nine hundred forty".