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2139488 = 251337139
BaseRepresentation
bin1000001010010101100000
311000200211022
420022111200
51021430423
6113505012
724120401
oct10122540
94020738
102139488
11123147a
12872168
1359ba90
143d99a8
152c3dc8
hex20a560

2139488 has 48 divisors (see below), whose sum is σ = 4692240. Its totient is φ = 953856.

The previous prime is 2139481. The next prime is 2139493. The reversal of 2139488 is 8849312.

It is a happy number.

2139488 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2139481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15323 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (97755).

22139488 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 2139488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346120).

2139488 is an abundant number, since it is smaller than the sum of its proper divisors (2552752).

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

2139488 is a wasteful number, since it uses less digits than its factorization.

2139488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 2139488 is about 1462.6988753670. The cubic root of 2139488 is about 128.8555962807.

The spelling of 2139488 in words is "two million, one hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 74 104 139 148 208 278 296 416 481 556 592 962 1112 1184 1807 1924 2224 3614 3848 4448 5143 7228 7696 10286 14456 15392 20572 28912 41144 57824 66859 82288 133718 164576 267436 534872 1069744 2139488