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10254962340 = 22335719142787
BaseRepresentation
bin10011000110011111…
…00100111010100100
3222110200112001201000
421203033210322210
5132000232243330
64413331233300
7512061512250
oct114317447244
928420461630
1010254962340
114392727a97
121ba2448830
13c7577976c
146d3d71260
15400472560
hex2633e4ea4

10254962340 has 192 divisors, whose sum is σ = 38381414400. Its totient is φ = 2220607872.

The previous prime is 10254962233. The next prime is 10254962387. The reversal of 10254962340 is 4326945201.

It is a happy number.

10254962340 is a `hidden beast` number, since 1 + 0 + 25 + 4 + 9 + 623 + 4 + 0 = 666.

10254962340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10254962295 and 10254962304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 427 + ... + 143213.

It is an arithmetic number, because the mean of its divisors is an integer number (199903200).

Almost surely, 210254962340 is an apocalyptic number.

10254962340 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 10254962340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19190707200).

10254962340 is an abundant number, since it is smaller than the sum of its proper divisors (28126452060).

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

10254962340 is a wasteful number, since it uses less digits than its factorization.

10254962340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142831 (or 142823 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10254962340 in words is "ten billion, two hundred fifty-four million, nine hundred sixty-two thousand, three hundred forty".