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1363681452 = 2237171950261
BaseRepresentation
bin101000101001000…
…0010000010101100
310112001000012021110
41101102002002230
510243100301302
6343152232020
745536046450
oct12122020254
93461005243
101363681452
1163a843071
1232083b610
131896a3803
14cd17a660
157eabdb6c
hex514820ac

1363681452 has 96 divisors (see below), whose sum is σ = 4053127680. Its totient is φ = 347397120.

The previous prime is 1363681447. The next prime is 1363681457. The reversal of 1363681452 is 2541863631.

It is an interprime number because it is at equal distance from previous prime (1363681447) and next prime (1363681457).

It is a self number, because there is not a number n which added to its sum of digits gives 1363681452.

It is not an unprimeable number, because it can be changed into a prime (1363681457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002 + ... + 52262.

It is an arithmetic number, because the mean of its divisors is an integer number (42220080).

Almost surely, 21363681452 is an apocalyptic number.

1363681452 is a gapful number since it is divisible by the number (12) 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 1363681452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2026563840).

1363681452 is an abundant number, since it is smaller than the sum of its proper divisors (2689446228).

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

1363681452 is a wasteful number, since it uses less digits than its factorization.

1363681452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50311 (or 50309 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 1363681452 is about 36928.0577880830. The cubic root of 1363681452 is about 1108.9304558489.

The spelling of 1363681452 in words is "one billion, three hundred sixty-three million, six hundred eighty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 19 21 28 34 38 42 51 57 68 76 84 102 114 119 133 204 228 238 266 323 357 399 476 532 646 714 798 969 1292 1428 1596 1938 2261 3876 4522 6783 9044 13566 27132 50261 100522 150783 201044 301566 351827 603132 703654 854437 954959 1055481 1407308 1708874 1909918 2110962 2563311 2864877 3417748 3819836 4221924 5126622 5729754 5981059 6684713 10253244 11459508 11962118 13369426 16234303 17943177 20054139 23924236 26738852 32468606 35886354 40108278 48702909 64937212 71772708 80216556 97405818 113640121 194811636 227280242 340920363 454560484 681840726 1363681452