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2714985 = 335713217
BaseRepresentation
bin1010010110110101101001
312002221021000
422112311221
51143334420
6134105213
732035260
oct12266551
95087230
102714985
111594899
12aab209
13740a00
145095d7
15389690
hex296d69

2714985 has 96 divisors (see below), whose sum is σ = 6324480. Its totient is φ = 1078272.

The previous prime is 2714983. The next prime is 2715007. The reversal of 2714985 is 5894172.

It is not a de Polignac number, because 2714985 - 21 = 2714983 is a prime.

It is a super-2 number, since 2×27149852 = 14742287100450, which contains 22 as substring.

Its product of digits (20160) is a multiple of the sum of its prime divisors (45).

2714985 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2714983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159697 + ... + 159713.

It is an arithmetic number, because the mean of its divisors is an integer number (65880).

22714985 is an apocalyptic number.

It is an amenable number.

2714985 is an abundant number, since it is smaller than the sum of its proper divisors (3609495).

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

2714985 is a wasteful number, since it uses less digits than its factorization.

2714985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 2714985 is about 1647.7211535937. The cubic root of 2714985 is about 139.5047980775.

The spelling of 2714985 in words is "two million, seven hundred fourteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 17 21 27 35 39 45 51 63 65 85 91 105 117 119 135 153 169 189 195 221 255 273 315 351 357 455 459 507 585 595 663 765 819 845 945 1071 1105 1183 1365 1521 1547 1755 1785 1989 2295 2457 2535 2873 3213 3315 3549 4095 4563 4641 5355 5915 5967 7605 7735 8619 9945 10647 12285 13923 14365 16065 17745 20111 22815 23205 25857 29835 31941 41769 43095 53235 60333 69615 77571 100555 129285 159705 180999 208845 301665 387855 542997 904995 2714985