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2534140 = 225723787
BaseRepresentation
bin1001101010101011111100
311202202012001
421222223330
51122043030
6130152044
730353110
oct11525374
94682161
102534140
111480a34
12a22624
136a95bb
1449d740
15350cca
hex26aafc

2534140 has 48 divisors (see below), whose sum is σ = 6354432. Its totient is φ = 830016.

The previous prime is 2534131. The next prime is 2534143. The reversal of 2534140 is 414352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534143) 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 15 ways as a sum of consecutive naturals, for example, 2827 + ... + 3613.

It is an arithmetic number, because the mean of its divisors is an integer number (132384).

22534140 is an apocalyptic number.

2534140 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 2534140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177216).

2534140 is an abundant number, since it is smaller than the sum of its proper divisors (3820292).

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

2534140 is a wasteful number, since it uses less digits than its factorization.

2534140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2534140 is about 1591.8982379537. The cubic root of 2534140 is about 136.3358911902.

Adding to 2534140 its reverse (414352), we get a palindrome (2948492).

The spelling of 2534140 in words is "two million, five hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 787 805 1574 1610 3148 3220 3935 5509 7870 11018 15740 18101 22036 27545 36202 55090 72404 90505 110180 126707 181010 253414 362020 506828 633535 1267070 2534140