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2463125140 = 225724358451
BaseRepresentation
bin1001001011010000…
…0100111010010100
320100122210201111001
42102310010322110
520021030001030
61044225153044
7115016134600
oct22264047224
96318721431
102463125140
111054408413
12588a8b784
133033bb1c8
141951b2500
15e6394cca
hex92d04e94

2463125140 has 72 divisors (see below), whose sum is σ = 6157099872. Its totient is φ = 824846400.

The previous prime is 2463125129. The next prime is 2463125141. The reversal of 2463125140 is 415213642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2463125099 and 2463125108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2463125141) 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 23 ways as a sum of consecutive naturals, for example, 12915 + ... + 71365.

It is an arithmetic number, because the mean of its divisors is an integer number (85515276).

Almost surely, 22463125140 is an apocalyptic number.

2463125140 is a gapful number since it is divisible by the number (20) 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 2463125140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078549936).

2463125140 is an abundant number, since it is smaller than the sum of its proper divisors (3693974732).

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

2463125140 is a wasteful number, since it uses less digits than its factorization.

2463125140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58517 (or 58508 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2463125140 is about 49629.8815231308. The cubic root of 2463125140 is about 1350.5028104177.

Adding to 2463125140 its reverse (415213642), we get a palindrome (2878338782).

The spelling of 2463125140 in words is "two billion, four hundred sixty-three million, one hundred twenty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 49 70 86 98 140 172 196 215 245 301 430 490 602 860 980 1204 1505 2107 3010 4214 6020 8428 10535 21070 42140 58451 116902 233804 292255 409157 584510 818314 1169020 1636628 2045785 2513393 2864099 4091570 5026786 5728198 8183140 10053572 11456396 12566965 14320495 17593751 25133930 28640990 35187502 50267860 57281980 70375004 87968755 123156257 175937510 246312514 351875020 492625028 615781285 1231562570 2463125140