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2540134300 = 2252117093257
BaseRepresentation
bin1001011101100111…
…0101111110011100
320120000201012012011
42113121311332130
520200233244200
61100015521004
7116642533234
oct22731657634
96500635164
102540134300
111093926550
125aa829164
13316342162
141a14dacc4
15ed0075ba
hex97675f9c

2540134300 has 72 divisors (see below), whose sum is σ = 6023520720. Its totient is φ = 922099200.

The previous prime is 2540134291. The next prime is 2540134309. The reversal of 2540134300 is 34310452.

It is an interprime number because it is at equal distance from previous prime (2540134291) and next prime (2540134309).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540134309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778272 + ... + 781528.

It is an arithmetic number, because the mean of its divisors is an integer number (83660010).

Almost surely, 22540134300 is an apocalyptic number.

2540134300 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 2540134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011760360).

2540134300 is an abundant number, since it is smaller than the sum of its proper divisors (3483386420).

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

2540134300 is a wasteful number, since it uses less digits than its factorization.

2540134300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3991 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2540134300 is about 50399.7450390376. The cubic root of 2540134300 is about 1364.4330365996.

Adding to 2540134300 its reverse (34310452), we get a palindrome (2574444752).

The spelling of 2540134300 in words is "two billion, five hundred forty million, one hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 709 1100 1418 2836 3257 3545 6514 7090 7799 13028 14180 15598 16285 17725 31196 32570 35450 35827 38995 65140 70900 71654 77990 81425 143308 155980 162850 179135 194975 325700 358270 389950 716540 779900 895675 1791350 2309213 3582700 4618426 9236852 11546065 23092130 25401343 46184260 50802686 57730325 101605372 115460650 127006715 230921300 254013430 508026860 635033575 1270067150 2540134300