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1064336540 = 225296167449
BaseRepresentation
bin111111011100000…
…111110010011100
32202011201220020212
4333130013302130
54134432232130
6253340231552
735242465661
oct7734076234
92664656225
101064336540
114a6876883
1225853b5b8
1313c674c47
14a14d7a68
156368de95
hex3f707c9c

1064336540 has 96 divisors (see below), whose sum is σ = 2390472000. Its totient is φ = 397393920.

The previous prime is 1064336531. The next prime is 1064336551. The reversal of 1064336540 is 456334601.

It is a super-2 number, since 2×10643365402 = 2265624540758343200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1064336497 and 1064336506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2370236 + ... + 2370684.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 21064336540 is an apocalyptic number.

1064336540 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 1064336540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195236000).

1064336540 is an abundant number, since it is smaller than the sum of its proper divisors (1326135460).

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

1064336540 is a wasteful number, since it uses less digits than its factorization.

1064336540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 1064336540 is about 32624.1711005812. The cubic root of 1064336540 is about 1021.0013682611.

The spelling of 1064336540 in words is "one billion, sixty-four million, three hundred thirty-six thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 61 67 116 122 134 145 244 268 290 305 335 449 580 610 670 898 1220 1340 1769 1796 1943 2245 3538 3886 4087 4490 7076 7772 8174 8845 8980 9715 13021 16348 17690 19430 20435 26042 27389 30083 35380 38860 40870 52084 54778 60166 65105 81740 109556 118523 120332 130210 136945 150415 237046 260420 273890 300830 474092 547780 592615 601660 794281 872407 1185230 1588562 1744814 1835063 2370460 3177124 3489628 3670126 3971405 4362035 7340252 7942810 8724070 9175315 15885620 17448140 18350630 36701260 53216827 106433654 212867308 266084135 532168270 1064336540