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1521314340 = 2235713221433
BaseRepresentation
bin101101010101101…
…0110101000100100
310221000121202221120
41122223112220210
511103424024330
6410543013540
752461646530
oct13253265044
93830552846
101521314340
11710818a87
1236559a2b0
131b3245a00
14106090bc0
158d859c10
hex5aad6a24

1521314340 has 144 divisors (see below), whose sum is σ = 5271735168. Its totient is φ = 320965632.

The previous prime is 1521314321. The next prime is 1521314359. The reversal of 1521314340 is 434131251.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1521314321) and next prime (1521314359).

It is a self number, because there is not a number n which added to its sum of digits gives 1521314340.

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, 60264 + ... + 81696.

It is an arithmetic number, because the mean of its divisors is an integer number (36609272).

Almost surely, 21521314340 is an apocalyptic number.

1521314340 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 1521314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635867584).

1521314340 is an abundant number, since it is smaller than the sum of its proper divisors (3750420828).

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

1521314340 is a wasteful number, since it uses less digits than its factorization.

1521314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21478 (or 21463 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1521314340 is about 39004.0297918048. The cubic root of 1521314340 is about 1150.1107240585.

Adding to 1521314340 its reverse (434131251), we get a palindrome (1955445591).

The spelling of 1521314340 in words is "one billion, five hundred twenty-one million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 169 182 195 210 260 273 338 364 390 420 455 507 546 676 780 845 910 1014 1092 1183 1365 1690 1820 2028 2366 2535 2730 3380 3549 4732 5070 5460 5915 7098 10140 11830 14196 17745 21433 23660 35490 42866 64299 70980 85732 107165 128598 150031 214330 257196 278629 300062 321495 428660 450093 557258 600124 642990 750155 835887 900186 1114516 1285980 1393145 1500310 1671774 1800372 1950403 2250465 2786290 3000620 3343548 3622177 3900806 4179435 4500930 5572580 5851209 7244354 7801612 8358870 9001860 9752015 10866531 11702418 14488708 16717740 18110885 19504030 21733062 23404836 25355239 29256045 36221770 39008060 43466124 50710478 54332655 58512090 72443540 76065717 101420956 108665310 117024180 126776195 152131434 217330620 253552390 304262868 380328585 507104780 760657170 1521314340