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2074140 = 2233523167
BaseRepresentation
bin111111010011000011100
310220101012000
413322120130
51012333030
6112242300
723426025
oct7723034
93811160
102074140
111197372
12840390
13578103
143bdc4c
152ae860
hex1fa61c

2074140 has 96 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 525888.

The previous prime is 2074139. The next prime is 2074141. The reversal of 2074140 is 414702.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2074139) and next prime (2074141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12337 + ... + 12503.

It is an arithmetic number, because the mean of its divisors is an integer number (70560).

22074140 is an apocalyptic number.

2074140 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 2074140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

2074140 is an abundant number, since it is smaller than the sum of its proper divisors (4699620).

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

2074140 is a wasteful number, since it uses less digits than its factorization.

2074140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2074140 is about 1440.1874877946. The cubic root of 2074140 is about 127.5300967013.

Adding to 2074140 its reverse (414702), we get a palindrome (2488842).

The spelling of 2074140 in words is "two million, seventy-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 90 92 108 115 135 138 167 180 207 230 270 276 334 345 414 460 501 540 621 668 690 828 835 1002 1035 1242 1380 1503 1670 2004 2070 2484 2505 3006 3105 3340 3841 4140 4509 5010 6012 6210 7515 7682 9018 10020 11523 12420 15030 15364 18036 19205 22545 23046 30060 34569 38410 45090 46092 57615 69138 76820 90180 103707 115230 138276 172845 207414 230460 345690 414828 518535 691380 1037070 2074140