Search a number
-
+
10252812930 = 235437947917
BaseRepresentation
bin10011000110001110…
…11000001010000010
3222110112110212021020
421203013120022002
5131444210003210
64413213210310
7512034320613
oct114307301202
928415425236
1010252812930
11439149a118
121ba1790996
13c751a6319
146d3971c0a
1540019a770
hex2631d8282

10252812930 has 32 divisors (see below), whose sum is σ = 25179004224. Its totient is φ = 2670499776.

The previous prime is 10252812923. The next prime is 10252812949. The reversal of 10252812930 is 3921825201.

It is a happy number.

It is a super-3 number, since 3×102528129303 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10252812891 and 10252812900.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3972669 + ... + 3975248.

It is an arithmetic number, because the mean of its divisors is an integer number (786843882).

Almost surely, 210252812930 is an apocalyptic number.

10252812930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10252812930 is an abundant number, since it is smaller than the sum of its proper divisors (14926191294).

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

10252812930 is a wasteful number, since it uses less digits than its factorization.

10252812930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7947970.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10252812930 in words is "ten billion, two hundred fifty-two million, eight hundred twelve thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 7947917 15895834 23843751 39739585 47687502 79479170 119218755 238437510 341760431 683520862 1025281293 1708802155 2050562586 3417604310 5126406465 10252812930