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1350123320 = 235713735081
BaseRepresentation
bin101000001111001…
…0011111100111000
310111002111101000102
41100132103330320
510231112421240
6341545454532
745312600410
oct12036237470
93432441012
101350123320
116331226a7
123181a1448
13186937550
14cb44b640
157d7e1815
hex50793f38

1350123320 has 128 divisors (see below), whose sum is σ = 3790765440. Its totient is φ = 421355520.

The previous prime is 1350123319. The next prime is 1350123349. The reversal of 1350123320 is 233210531.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1350123292 and 1350123301.

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, 263180 + ... + 268260.

It is an arithmetic number, because the mean of its divisors is an integer number (29615355).

Almost surely, 21350123320 is an apocalyptic number.

1350123320 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 1350123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895382720).

1350123320 is an abundant number, since it is smaller than the sum of its proper divisors (2440642120).

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

1350123320 is a wasteful number, since it uses less digits than its factorization.

1350123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5185 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 1350123320 is about 36744.0242760643. The cubic root of 1350123320 is about 1105.2431015130.

Adding to 1350123320 its reverse (233210531), we get a palindrome (1583333851).

The spelling of 1350123320 in words is "one billion, three hundred fifty million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 73 91 104 130 140 146 182 260 280 292 364 365 455 511 520 584 728 730 910 949 1022 1460 1820 1898 2044 2555 2920 3640 3796 4088 4745 5081 5110 6643 7592 9490 10162 10220 13286 18980 20324 20440 25405 26572 33215 35567 37960 40648 50810 53144 66053 66430 71134 101620 132106 132860 142268 177835 203240 264212 265720 284536 330265 355670 370913 462371 528424 660530 711340 741826 924742 1321060 1422680 1483652 1849484 1854565 2311855 2596391 2642120 2967304 3698968 3709130 4623710 4821869 5192782 7418260 9247420 9643738 10385564 12981955 14836520 18494840 19287476 20771128 24109345 25963910 33753083 38574952 48218690 51927820 67506166 96437380 103855640 135012332 168765415 192874760 270024664 337530830 675061660 1350123320