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2137428 = 2236733
BaseRepresentation
bin1000001001110101010100
311000121000000
420021311110
51021344203
6113451300
724111366
oct10116524
94017000
102137428
11122a977
12870b30
1359ab67
143d8d36
152c34a3
hex209d54

2137428 has 42 divisors (see below), whose sum is σ = 5615834. Its totient is φ = 711504.

The previous prime is 2137423. The next prime is 2137441. The reversal of 2137428 is 8247312.

2137428 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2125764 + 11664 = 1458^2 + 108^2 .

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 (2137423) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2550 + ... + 3282.

22137428 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807917).

2137428 is an abundant number, since it is smaller than the sum of its proper divisors (3478406).

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

2137428 is an equidigital number, since it uses as much as digits as its factorization.

2137428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 738 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2137428 is about 1461.9945280335. The cubic root of 2137428 is about 128.8142269176.

The spelling of 2137428 in words is "two million, one hundred thirty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 733 972 1458 1466 2199 2916 2932 4398 6597 8796 13194 19791 26388 39582 59373 79164 118746 178119 237492 356238 534357 712476 1068714 2137428