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1064129340 = 223520298741
BaseRepresentation
bin111111011011010…
…101001100111100
32202011100101000210
4333123111030330
54134404114330
6253331552420
735240643621
oct7733251474
92664311023
101064129340
114a674513a
1225845b710
1313c601841
14a1482348
156364c8b0
hex3f6d533c

1064129340 has 48 divisors (see below), whose sum is σ = 2981371680. Its totient is φ = 283595520.

The previous prime is 1064129321. The next prime is 1064129351. The reversal of 1064129340 is 439214601.

It is a super-2 number, since 2×10641293402 = 2264742504497671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1064129298 and 1064129307.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 117370 + ... + 126110.

It is an arithmetic number, because the mean of its divisors is an integer number (62111910).

Almost surely, 21064129340 is an apocalyptic number.

1064129340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1064129340 is an abundant number, since it is smaller than the sum of its proper divisors (1917242340).

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

1064129340 is a wasteful number, since it uses less digits than its factorization.

1064129340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782 (or 10780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1064129340 is about 32620.9953864072. The cubic root of 1064129340 is about 1020.9351093899.

The spelling of 1064129340 in words is "one billion, sixty-four million, one hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2029 4058 6087 8116 8741 10145 12174 17482 20290 24348 26223 30435 34964 40580 43705 52446 60870 87410 104892 121740 131115 174820 262230 524460 17735489 35470978 53206467 70941956 88677445 106412934 177354890 212825868 266032335 354709780 532064670 1064129340