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1513471540 = 225741259109
BaseRepresentation
bin101101000110101…
…1011111000110100
310220110212022122111
41122031123320310
511044422042130
6410102540404
752335203320
oct13215337064
93813768574
101513471540
11707351629
12362a37704
131b172acb9
1410500c980
158cd0b02a
hex5a35be34

1513471540 has 144 divisors (see below), whose sum is σ = 3820924800. Its totient is φ = 493102080.

The previous prime is 1513471513. The next prime is 1513471541. The reversal of 1513471540 is 451743151.

It is a super-2 number, since 2×15134715402 = 4581192204779943200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513471541) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 13885006 + ... + 13885114.

It is an arithmetic number, because the mean of its divisors is an integer number (26534200).

Almost surely, 21513471540 is an apocalyptic number.

1513471540 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 1513471540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910462400).

1513471540 is an abundant number, since it is smaller than the sum of its proper divisors (2307453260).

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

1513471540 is a wasteful number, since it uses less digits than its factorization.

1513471540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1513471540 is about 38903.3615514135. The cubic root of 1513471540 is about 1148.1309374461.

The spelling of 1513471540 in words is "one billion, five hundred thirteen million, four hundred seventy-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 59 70 82 109 118 140 164 205 218 236 287 295 410 413 436 545 574 590 763 820 826 1090 1148 1180 1435 1526 1652 1681 2065 2180 2419 2870 3052 3362 3815 4130 4469 4838 5740 6431 6724 7630 8260 8405 8938 9676 11767 12095 12862 15260 16810 16933 17876 22345 23534 24190 25724 31283 32155 33620 33866 44690 45017 47068 48380 58835 62566 64310 67732 84665 89380 90034 99179 117670 125132 128620 156415 169330 180068 183229 198358 225085 235340 263671 312830 338660 366458 396716 450170 495895 527342 625660 694253 732916 900340 916145 991790 1054684 1282603 1318355 1388506 1832290 1845697 1983580 2565206 2636710 2777012 3471265 3664580 3691394 5130412 5273420 6413015 6942530 7382788 9228485 10810511 12826030 13885060 18456970 21621022 25652060 36913940 43242044 54052555 75673577 108105110 151347154 216210220 302694308 378367885 756735770 1513471540