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2540287900 = 2252172364969
BaseRepresentation
bin1001011101101001…
…1011011110011100
320120000222222220001
42113122123132130
520200303203100
61100023104044
7116644043113
oct22732333634
96500888801
102540287900
111093a20997
125aa8a2024
13316397047
141a153ac7a
15ed037d6a
hex9769b79c

2540287900 has 72 divisors (see below), whose sum is σ = 6090547680. Its totient is φ = 914749440.

The previous prime is 2540287829. The next prime is 2540287903. The reversal of 2540287900 is 97820452.

It is a super-2 number, since 2×25402879002 = 12906125229772820000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2540287900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540287903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6616 + ... + 71584.

It is an arithmetic number, because the mean of its divisors is an integer number (84590940).

Almost surely, 22540287900 is an apocalyptic number.

2540287900 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 2540287900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045273840).

2540287900 is an abundant number, since it is smaller than the sum of its proper divisors (3550259780).

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

2540287900 is a wasteful number, since it uses less digits than its factorization.

2540287900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65023 (or 65016 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 2540287900 is about 50401.2688332347. The cubic root of 2540287900 is about 1364.4605381232.

The spelling of 2540287900 in words is "two billion, five hundred forty million, two hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 46 50 68 85 92 100 115 170 230 340 391 425 460 575 782 850 1150 1564 1700 1955 2300 3910 7820 9775 19550 39100 64969 129938 259876 324845 649690 1104473 1299380 1494287 1624225 2208946 2988574 3248450 4417892 5522365 5977148 6496900 7471435 11044730 14942870 22089460 25402879 27611825 29885740 37357175 50805758 55223650 74714350 101611516 110447300 127014395 149428700 254028790 508057580 635071975 1270143950 2540287900