Search a number
-
+
1402753050 = 2325214920921
BaseRepresentation
bin101001110011100…
…0101000000011010
310121202112020102200
41103213011000122
510333101044200
6351105511030
746522130016
oct12347050032
93552466380
101402753050
1165a8aa146
12331942476
131948038ba
14d442b546
158323a800
hex539c501a

1402753050 has 72 divisors (see below), whose sum is σ = 3794204700. Its totient is φ = 371539200.

The previous prime is 1402753039. The next prime is 1402753057. The reversal of 1402753050 is 503572041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 368294481 + 1034458569 = 19191^2 + 32163^2 .

It is a super-2 number, since 2×14027530502 = 3935432238568605000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1402753057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56590 + ... + 77510.

Almost surely, 21402753050 is an apocalyptic number.

1402753050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402753050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897102350).

1402753050 is an abundant number, since it is smaller than the sum of its proper divisors (2391451650).

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

1402753050 is a wasteful number, since it uses less digits than its factorization.

1402753050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21080 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 1402753050 is about 37453.3449774516. The cubic root of 1402753050 is about 1119.4217492285.

The spelling of 1402753050 in words is "one billion, four hundred two million, seven hundred fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 149 150 225 298 447 450 745 894 1341 1490 2235 2682 3725 4470 6705 7450 11175 13410 20921 22350 33525 41842 62763 67050 104605 125526 188289 209210 313815 376578 523025 627630 941445 1046050 1569075 1882890 3117229 3138150 4707225 6234458 9351687 9414450 15586145 18703374 28055061 31172290 46758435 56110122 77930725 93516870 140275305 155861450 233792175 280550610 467584350 701376525 1402753050