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2157138 = 23343929
BaseRepresentation
bin1000001110101001010010
311001121001000
420032221102
51023012023
6114122430
724223014
oct10165122
94047030
102157138
111243765
12880416
135a6b19
144021b4
152c9243
hex20ea52

2157138 has 32 divisors (see below), whose sum is σ = 4910400. Its totient is φ = 701568.

The previous prime is 2157131. The next prime is 2157149. The reversal of 2157138 is 8317512.

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

It is not an unprimeable number, because it can be changed into a prime (2157131) 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, 1858 + ... + 2786.

It is an arithmetic number, because the mean of its divisors is an integer number (153450).

22157138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2157138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455200).

2157138 is an abundant number, since it is smaller than the sum of its proper divisors (2753262).

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

2157138 is a wasteful number, since it uses less digits than its factorization.

2157138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 977 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 2157138 is about 1468.7198507544. The cubic root of 2157138 is about 129.2089636482.

It can be divided in two parts, 21571 and 38, that added together give a square (21609 = 1472).

The spelling of 2157138 in words is "two million, one hundred fifty-seven thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 258 387 774 929 1161 1858 2322 2787 5574 8361 16722 25083 39947 50166 79894 119841 239682 359523 719046 1078569 2157138