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1064640500 = 225371127653
BaseRepresentation
bin111111011101010…
…001111111110100
32202012022100012122
4333131101333310
54140021444000
6253350535112
735245203110
oct7735217764
92665270178
101064640500
114a6a64190
12258667498
1313c7503c1
14a1576740
15636ee085
hex3f751ff4

1064640500 has 96 divisors (see below), whose sum is σ = 2899024128. Its totient is φ = 331824000.

The previous prime is 1064640469. The next prime is 1064640523. The reversal of 1064640500 is 50464601.

It is a happy number.

It is a super-2 number, since 2×10646405002 = 2266918788480500000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1064640500.

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, 24674 + ... + 52326.

It is an arithmetic number, because the mean of its divisors is an integer number (30198168).

Almost surely, 21064640500 is an apocalyptic number.

1064640500 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 1064640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449512064).

1064640500 is an abundant number, since it is smaller than the sum of its proper divisors (1834383628).

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

1064640500 is a wasteful number, since it uses less digits than its factorization.

1064640500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27690 (or 27678 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 1064640500 is about 32628.8292771898. The cubic root of 1064640500 is about 1021.0985536987.

The spelling of 1064640500 in words is "one billion, sixty-four million, six hundred forty thousand, five hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 125 140 154 175 220 250 275 308 350 385 500 550 700 770 875 1100 1375 1540 1750 1925 2750 3500 3850 5500 7700 9625 19250 27653 38500 55306 110612 138265 193571 276530 304183 387142 553060 608366 691325 774284 967855 1216732 1382650 1520915 1935710 2129281 2765300 3041830 3456625 3871420 4258562 4839275 6083660 6913250 7604575 8517124 9678550 10646405 13826500 15209150 19357100 21292810 24196375 30418300 38022875 42585620 48392750 53232025 76045750 96785500 106464050 152091500 212928100 266160125 532320250 1064640500