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2138368 = 288353
BaseRepresentation
bin1000001010000100000000
311000122021211
420022010000
51021411433
6113455504
724114211
oct10120400
94018254
102138368
111230651
12871594
1359b40b
143d9408
152c38cd
hex20a100

2138368 has 18 divisors (see below), whose sum is σ = 4268894. Its totient is φ = 1069056.

The previous prime is 2138363. The next prime is 2138371. The reversal of 2138368 is 8638312.

It can be written as a sum of positive squares in only one way, i.e., 1937664 + 200704 = 1392^2 + 448^2 .

It is a super-3 number, since 3×21383683 = 29333818119706116096, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2138363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3921 + ... + 4432.

22138368 is an apocalyptic number.

It is an amenable number.

2138368 is a deficient number, since it is larger than the sum of its proper divisors (2130526).

2138368 is an frugal number, since it uses more digits than its factorization.

2138368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8369 (or 8355 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 2138368 is about 1462.3159713277. The cubic root of 2138368 is about 128.8331074955.

The spelling of 2138368 in words is "two million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 8353 16706 33412 66824 133648 267296 534592 1069184 2138368