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2139392 = 2861137
BaseRepresentation
bin1000001010010100000000
311000200200202
420022110000
51021430032
6113504332
724120203
oct10122400
94020622
102139392
1112313a2
128720a8
1359ba18
143d993a
152c3d62
hex20a500

2139392 has 36 divisors (see below), whose sum is σ = 4372116. Its totient is φ = 1044480.

The previous prime is 2139383. The next prime is 2139407. The reversal of 2139392 is 2939312.

It can be written as a sum of positive squares in 2 ways, for example, as 541696 + 1597696 = 736^2 + 1264^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15548 + ... + 15684.

22139392 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 2139392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186058).

2139392 is an abundant number, since it is smaller than the sum of its proper divisors (2232724).

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

2139392 is an equidigital number, since it uses as much as digits as its factorization.

2139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 2916, while the sum is 29.

The square root of 2139392 is about 1462.6660589485. Note that the first 3 decimals coincide. The cubic root of 2139392 is about 128.8536689781.

It can be divided in two parts, 2 and 139392, that multiplied together give a square (278784 = 5282).

The spelling of 2139392 in words is "two million, one hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 61 64 122 128 137 244 256 274 488 548 976 1096 1952 2192 3904 4384 7808 8357 8768 15616 16714 17536 33428 35072 66856 133712 267424 534848 1069696 2139392