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2514980 = 2251317569
BaseRepresentation
bin1001100110000000100100
311201202220102
421212000210
51120434410
6125523232
730243206
oct11460044
94652812
102514980
1114685a6
12a13518
136a0970
14496776
1534a2a5
hex266024

2514980 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 872448.

The previous prime is 2514977. The next prime is 2514989. The reversal of 2514980 is 894152.

It can be written as a sum of positive squares in 8 ways, for example, as 222784 + 2292196 = 472^2 + 1514^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2514989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4136 + ... + 4704.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

22514980 is an apocalyptic number.

2514980 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 2514980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2514980 is an abundant number, since it is smaller than the sum of its proper divisors (3517900).

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

2514980 is a wasteful number, since it uses less digits than its factorization.

2514980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 2514980 is about 1585.8688470362. The cubic root of 2514980 is about 135.9914210275.

The spelling of 2514980 in words is "two million, five hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 569 884 1105 1138 2210 2276 2845 4420 5690 7397 9673 11380 14794 19346 29588 36985 38692 48365 73970 96730 125749 147940 193460 251498 502996 628745 1257490 2514980