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2749140 = 223451697
BaseRepresentation
bin1010011111001011010100
312011200010000
422133023110
51200433030
6134531300
732236662
oct12371324
95150100
102749140
111608519
12b06b30
13753414
14517c32
15394860
hex29f2d4

2749140 has 60 divisors (see below), whose sum is σ = 8629236. Its totient is φ = 732672.

The previous prime is 2749133. The next prime is 2749147. The reversal of 2749140 is 419472.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2749133) and next prime (2749147).

It can be written as a sum of positive squares in 2 ways, for example, as 1971216 + 777924 = 1404^2 + 882^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2749147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 772 + ... + 2468.

22749140 is an apocalyptic number.

2749140 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 2749140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314618).

2749140 is an abundant number, since it is smaller than the sum of its proper divisors (5880096).

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

2749140 is a wasteful number, since it uses less digits than its factorization.

2749140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2749140 is about 1658.0530751457. The cubic root of 2749140 is about 140.0873604415.

The spelling of 2749140 in words is "two million, seven hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1697 3394 5091 6788 8485 10182 15273 16970 20364 25455 30546 33940 45819 50910 61092 76365 91638 101820 137457 152730 183276 229095 274914 305460 458190 549828 687285 916380 1374570 2749140