Search a number
-
+
2131392 = 26317653
BaseRepresentation
bin1000001000010111000000
311000021201110
420020113000
51021201032
6113403320
724054654
oct10102700
94007643
102131392
11122638a
12869540
135981a3
143d6a64
152c17cc
hex2085c0

2131392 has 56 divisors (see below), whose sum is σ = 5980176. Its totient is φ = 667648.

The previous prime is 2131373. The next prime is 2131399. The reversal of 2131392 is 2931312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131399) 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, 2938 + ... + 3590.

22131392 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 2131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990088).

2131392 is an abundant number, since it is smaller than the sum of its proper divisors (3848784).

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

2131392 is a wasteful number, since it uses less digits than its factorization.

2131392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 675 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 2131392 is about 1459.9287653855. The cubic root of 2131392 is about 128.6928574149.

It can be divided in two parts, 21 and 31392, that added together give a palindrome (31413).

The spelling of 2131392 in words is "two million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 653 816 1088 1306 1632 1959 2612 3264 3918 5224 7836 10448 11101 15672 20896 22202 31344 33303 41792 44404 62688 66606 88808 125376 133212 177616 266424 355232 532848 710464 1065696 2131392