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2514080 = 25519827
BaseRepresentation
bin1001100101110010100000
311201201200002
421211302200
51120422310
6125515132
730240452
oct11456240
94651602
102514080
111467958
12a12aa8
136a042a
144962d2
15349da5
hex265ca0

2514080 has 48 divisors (see below), whose sum is σ = 6259680. Its totient is φ = 951552.

The previous prime is 2514073. The next prime is 2514089. The reversal of 2514080 is 804152.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2514089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2627 + ... + 3453.

It is an arithmetic number, because the mean of its divisors is an integer number (130410).

22514080 is an apocalyptic number.

2514080 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 2514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3129840).

2514080 is an abundant number, since it is smaller than the sum of its proper divisors (3745600).

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

2514080 is a wasteful number, since it uses less digits than its factorization.

2514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2514080 is about 1585.5850655200. The cubic root of 2514080 is about 135.9751973224.

The spelling of 2514080 in words is "two million, five hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 827 1520 1654 3040 3308 4135 6616 8270 13232 15713 16540 26464 31426 33080 62852 66160 78565 125704 132320 157130 251408 314260 502816 628520 1257040 2514080