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2714840 = 235671013
BaseRepresentation
bin1010010110110011011000
312002221001122
422112303120
51143333330
6134104412
732034662
oct12266330
95087048
102714840
111594777
12aab108
1374091b
14509532
153895e5
hex296cd8

2714840 has 32 divisors (see below), whose sum is σ = 6205680. Its totient is φ = 1068672.

The previous prime is 2714837. The next prime is 2714843. The reversal of 2714840 is 484172.

2714840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2714837) and next prime (2714843).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2174 + ... + 3186.

22714840 is an apocalyptic number.

2714840 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 2714840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102840).

2714840 is an abundant number, since it is smaller than the sum of its proper divisors (3490840).

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

2714840 is a wasteful number, since it uses less digits than its factorization.

2714840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 2714840 is about 1647.6771528428. The cubic root of 2714840 is about 139.5023145088.

The spelling of 2714840 in words is "two million, seven hundred fourteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1013 1340 2026 2680 4052 5065 8104 10130 20260 40520 67871 135742 271484 339355 542968 678710 1357420 2714840