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2137938 = 2311291117
BaseRepresentation
bin1000001001111101010010
311000121200220
420021331102
51021403223
6113453510
724113025
oct10117522
94017626
102137938
1112302a0
12871296
1359b16a
143d91bc
152c36e3
hex209f52

2137938 has 32 divisors (see below), whose sum is σ = 4829760. Its totient is φ = 624960.

The previous prime is 2137931. The next prime is 2137943. The reversal of 2137938 is 8397312.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2137899 and 2137908.

It is not an unprimeable number, because it can be changed into a prime (2137931) 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, 1356 + ... + 2472.

It is an arithmetic number, because the mean of its divisors is an integer number (150930).

22137938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414880).

2137938 is an abundant number, since it is smaller than the sum of its proper divisors (2691822).

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

2137938 is a wasteful number, since it uses less digits than its factorization.

2137938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162.

The product of its digits is 9072, while the sum is 33.

The square root of 2137938 is about 1462.1689368879. The cubic root of 2137938 is about 128.8244713221.

The spelling of 2137938 in words is "two million, one hundred thirty-seven thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1117 1914 2234 3351 6702 12287 24574 32393 36861 64786 73722 97179 194358 356323 712646 1068969 2137938