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2512940 = 2251719389
BaseRepresentation
bin1001100101100000101100
311201200002212
421211200230
51120403230
6125505552
730234233
oct11454054
94650085
102512940
111467011
12a122b8
1369ca61
14495b1a
15349895
hex26582c

2512940 has 48 divisors (see below), whose sum is σ = 5896800. Its totient is φ = 893952.

The previous prime is 2512919. The next prime is 2512943. The reversal of 2512940 is 492152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6266 + ... + 6654.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

22512940 is an apocalyptic number.

2512940 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 2512940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948400).

2512940 is an abundant number, since it is smaller than the sum of its proper divisors (3383860).

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

2512940 is a wasteful number, since it uses less digits than its factorization.

2512940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2512940 is about 1585.2255360043. The cubic root of 2512940 is about 135.9546417367.

The spelling of 2512940 in words is "two million, five hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 389 646 778 1292 1556 1615 1945 3230 3890 6460 6613 7391 7780 13226 14782 26452 29564 33065 36955 66130 73910 125647 132260 147820 251294 502588 628235 1256470 2512940