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1065993240 = 2335135312893
BaseRepresentation
bin111111100010011…
…100010000011000
32202021212001211010
4333202130100120
54140343240430
6253435533520
735262536004
oct7742342030
92667761733
101065993240
114a77a8554
12258bba2a0
1313cb05040
14a1809704
15638b9cb0
hex3f89c418

1065993240 has 128 divisors (see below), whose sum is σ = 3509231040. Its totient is φ = 257427456.

The previous prime is 1065993221. The next prime is 1065993329. The reversal of 1065993240 is 423995601.

It is a super-2 number, since 2×10659932402 = 2272683175451395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 76234 + ... + 89126.

Almost surely, 21065993240 is an apocalyptic number.

1065993240 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 1065993240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754615520).

1065993240 is an abundant number, since it is smaller than the sum of its proper divisors (2443237800).

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

1065993240 is a wasteful number, since it uses less digits than its factorization.

1065993240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12973 (or 12969 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1065993240 is about 32649.5519111672. The cubic root of 1065993240 is about 1021.5308424222.

The spelling of 1065993240 in words is "one billion, sixty-five million, nine hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 53 60 65 78 104 106 120 130 156 159 195 212 260 265 312 318 390 424 520 530 636 689 780 795 1060 1272 1378 1560 1590 2067 2120 2756 3180 3445 4134 5512 6360 6890 8268 10335 12893 13780 16536 20670 25786 27560 38679 41340 51572 64465 77358 82680 103144 128930 154716 167609 193395 257860 309432 335218 386790 502827 515720 670436 683329 773580 838045 1005654 1340872 1366658 1547160 1676090 2011308 2049987 2514135 2733316 3352180 3416645 4022616 4099974 5028270 5466632 6704360 6833290 8199948 8883277 10056540 10249935 13666580 16399896 17766554 20113080 20499870 26649831 27333160 35533108 40999740 44416385 53299662 71066216 81999480 88832770 106599324 133249155 177665540 213198648 266498310 355331080 532996620 1065993240