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2131374 = 237311637
BaseRepresentation
bin1000001000010110101110
311000021200210
420020112232
51021200444
6113403250
724054630
oct10102656
94007623
102131374
111226373
12869526
1359818b
143d6a50
152c17b9
hex2085ae

2131374 has 32 divisors (see below), whose sum is σ = 5031936. Its totient is φ = 588960.

The previous prime is 2131373. The next prime is 2131399. The reversal of 2131374 is 4731312.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2131374.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

22131374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515968).

2131374 is an abundant number, since it is smaller than the sum of its proper divisors (2900562).

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

2131374 is a wasteful number, since it uses less digits than its factorization.

2131374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680.

The product of its digits is 504, while the sum is 21.

The square root of 2131374 is about 1459.9226006881. The cubic root of 2131374 is about 128.6924951355.

Adding to 2131374 its reverse (4731312), we get a palindrome (6862686).

The spelling of 2131374 in words is "two million, one hundred thirty-one thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 1637 3274 4911 9822 11459 22918 34377 50747 68754 101494 152241 304482 355229 710458 1065687 2131374