Search a number
-
+
1300401200 = 24527266347
BaseRepresentation
bin100110110000010…
…1000110000110000
310100121221020002102
41031200220300300
510130400314300
6333012035532
744140141100
oct11540506060
93317836072
101300401200
1160805173a
12303602ba8
13179548787
14c49c7200
157926e0d5
hex4d828c30

1300401200 has 90 divisors (see below), whose sum is σ = 3634344396. Its totient is φ = 445845120.

The previous prime is 1300401181. The next prime is 1300401203. The reversal of 1300401200 is 21040031.

It is a happy number.

It is a super-2 number, since 2×13004012002 = 3382086561922880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1300401203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13574 + ... + 52773.

Almost surely, 21300401200 is an apocalyptic number.

1300401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300401200 is an abundant number, since it is smaller than the sum of its proper divisors (2333943196).

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

1300401200 is a wasteful number, since it uses less digits than its factorization.

1300401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66379 (or 66361 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1300401200 is about 36061.0759684178. The cubic root of 1300401200 is about 1091.5051450581.

Adding to 1300401200 its reverse (21040031), we get a palindrome (1321441231).

The spelling of 1300401200 in words is "one billion, three hundred million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 140 175 196 200 245 280 350 392 400 490 560 700 784 980 1225 1400 1960 2450 2800 3920 4900 9800 19600 66347 132694 265388 331735 464429 530776 663470 928858 1061552 1326940 1658675 1857716 2322145 2653880 3251003 3317350 3715432 4644290 5307760 6502006 6634700 7430864 9288580 11610725 13004012 13269400 16255015 18577160 23221450 26008024 26538800 32510030 37154320 46442900 52016048 65020060 81275075 92885800 130040120 162550150 185771600 260080240 325100300 650200600 1300401200