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1450945320 = 2335112414561
BaseRepresentation
bin101011001111011…
…1010101100101000
310202010012122210120
41112132322230220
510432420222240
6355550443240
750645555166
oct12636725450
93663178716
101450945320
11685025770
12345b03520
131a17a8236
14da9b4236
15875a9ad0
hex567bab28

1450945320 has 128 divisors (see below), whose sum is σ = 4769297280. Its totient is φ = 350208000.

The previous prime is 1450945277. The next prime is 1450945333. The reversal of 1450945320 is 235490541.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315840 + ... + 320400.

It is an arithmetic number, because the mean of its divisors is an integer number (37260135).

Almost surely, 21450945320 is an apocalyptic number.

1450945320 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 1450945320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384648640).

1450945320 is an abundant number, since it is smaller than the sum of its proper divisors (3318351960).

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

1450945320 is a wasteful number, since it uses less digits than its factorization.

1450945320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 1450945320 is about 38091.2761665975. The cubic root of 1450945320 is about 1132.0971107073.

The spelling of 1450945320 in words is "one billion, four hundred fifty million, nine hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4561 4820 5302 5784 7230 7953 9122 9640 10604 13255 13683 14460 15906 18244 21208 22805 26510 27366 28920 31812 36488 39765 45610 50171 53020 54732 63624 68415 79530 91220 100342 106040 109464 136830 150513 159060 182440 200684 250855 273660 301026 318120 401368 501710 547320 602052 752565 1003420 1099201 1204104 1505130 2006840 2198402 3010260 3297603 4396804 5496005 6020520 6595206 8793608 10992010 12091211 13190412 16488015 21984020 24182422 26380824 32976030 36273633 43968040 48364844 60456055 65952060 72547266 96729688 120912110 131904120 145094532 181368165 241824220 290189064 362736330 483648440 725472660 1450945320