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2138024 = 23773523
BaseRepresentation
bin1000001001111110101000
311000121211002
420021332220
51021404044
6113454132
724113210
oct10117650
94017732
102138024
111230369
12871348
1359b205
143d9240
152c374e
hex209fa8

2138024 has 32 divisors (see below), whose sum is σ = 4653120. Its totient is φ = 902016.

The previous prime is 2137999. The next prime is 2138029. The reversal of 2138024 is 4208312.

It is a super-2 number, since 2×21380242 = 9142293249152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2137987 and 2138005.

It is not an unprimeable number, because it can be changed into a prime (2138029) 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, 3827 + ... + 4349.

It is an arithmetic number, because the mean of its divisors is an integer number (145410).

22138024 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 2138024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326560).

2138024 is an abundant number, since it is smaller than the sum of its proper divisors (2515096).

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

2138024 is a wasteful number, since it uses less digits than its factorization.

2138024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2138024 is about 1462.1983449587. The cubic root of 2138024 is about 128.8261986494.

The spelling of 2138024 in words is "two million, one hundred thirty-eight thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 523 584 1022 1046 2044 2092 3661 4088 4184 7322 14644 29288 38179 76358 152716 267253 305432 534506 1069012 2138024