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1513263420 = 22325531271249
BaseRepresentation
bin101101000110010…
…1001000100111100
310220110110202011100
41122030221010330
511044343412140
6410054253100
752333345464
oct13214510474
93813422140
101513263420
1170721a229
12362957190
131b1687356
14104d96ba4
158ccb9530
hex5a32913c

1513263420 has 144 divisors (see below), whose sum is σ = 4717440000. Its totient is φ = 392491008.

The previous prime is 1513263391. The next prime is 1513263431. The reversal of 1513263420 is 243623151.

1513263420 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 2 + 634 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210956 + ... + 1212204.

It is an arithmetic number, because the mean of its divisors is an integer number (32760000).

Almost surely, 21513263420 is an apocalyptic number.

1513263420 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 1513263420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720000).

1513263420 is an abundant number, since it is smaller than the sum of its proper divisors (3204176580).

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

1513263420 is a wasteful number, since it uses less digits than its factorization.

1513263420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1513263420 is about 38900.6866263309. The cubic root of 1513263420 is about 1148.0783078991.

Adding to 1513263420 its reverse (243623151), we get a palindrome (1756886571).

The spelling of 1513263420 in words is "one billion, five hundred thirteen million, two hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 127 159 180 212 254 265 318 381 477 508 530 635 636 762 795 954 1060 1143 1249 1270 1524 1590 1905 1908 2286 2385 2498 2540 3180 3747 3810 4572 4770 4996 5715 6245 6731 7494 7620 9540 11241 11430 12490 13462 14988 18735 20193 22482 22860 24980 26924 33655 37470 40386 44964 56205 60579 66197 67310 74940 80772 100965 112410 121158 132394 134620 158623 198591 201930 224820 242316 264788 302895 317246 330985 397182 403860 475869 595773 605790 634492 661970 793115 794364 951738 992955 1191546 1211580 1323940 1427607 1586230 1903476 1985910 2379345 2383092 2855214 2978865 3172460 3971820 4758690 5710428 5957730 7138035 8407019 9517380 11915460 14276070 16814038 25221057 28552140 33628076 42035095 50442114 75663171 84070190 100884228 126105285 151326342 168140380 252210570 302652684 378315855 504421140 756631710 1513263420