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2138032 = 241319541
BaseRepresentation
bin1000001001111110110000
311000121211101
420021332300
51021404112
6113454144
724113221
oct10117660
94017741
102138032
111230376
12871354
1359b210
143d9248
152c3757
hex209fb0

2138032 has 40 divisors (see below), whose sum is σ = 4704560. Its totient is φ = 933120.

The previous prime is 2138029. The next prime is 2138033. The reversal of 2138032 is 2308312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (2138033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3682 + ... + 4222.

It is an arithmetic number, because the mean of its divisors is an integer number (117614).

22138032 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 2138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352280).

2138032 is an abundant number, since it is smaller than the sum of its proper divisors (2566528).

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

2138032 is a wasteful number, since it uses less digits than its factorization.

2138032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2138032 is about 1462.2010805631. The cubic root of 2138032 is about 128.8263593287.

It can be divided in two parts, 21380 and 32, that added together give a palindrome (21412).

The spelling of 2138032 in words is "two million, one hundred thirty-eight thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 541 988 1082 1976 2164 3952 4328 7033 8656 10279 14066 20558 28132 41116 56264 82232 112528 133627 164464 267254 534508 1069016 2138032