Search a number
-
+
2131168 = 251347109
BaseRepresentation
bin1000001000010011100000
311000021102011
420020103200
51021144133
6113402304
724054214
oct10102340
94007364
102131168
1112261a6
12869394
13598060
143d6944
152c16cd
hex2084e0

2131168 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 953856.

The previous prime is 2131141. The next prime is 2131193. The reversal of 2131168 is 8611312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19498 + ... + 19606.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22131168 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 2131168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2131168 is an abundant number, since it is smaller than the sum of its proper divisors (2525792).

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

2131168 is a wasteful number, since it uses less digits than its factorization.

2131168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 2131168 is about 1459.8520472979. The cubic root of 2131168 is about 128.6883489043.

The spelling of 2131168 in words is "two million, one hundred thirty-one thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 109 188 208 218 376 416 436 611 752 872 1222 1417 1504 1744 2444 2834 3488 4888 5123 5668 9776 10246 11336 19552 20492 22672 40984 45344 66599 81968 133198 163936 266396 532792 1065584 2131168