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2132368 = 24779241
BaseRepresentation
bin1000001000100110010000
311000100001121
420020212100
51021213433
6113412024
724060550
oct10104620
94010047
102132368
111227097
1286a014
13598774
143d7160
152c1c2d
hex208990

2132368 has 40 divisors (see below), whose sum is σ = 4801280. Its totient is φ = 898560.

The previous prime is 2132359. The next prime is 2132371. The reversal of 2132368 is 8632312.

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, 8728 + ... + 8968.

It is an arithmetic number, because the mean of its divisors is an integer number (120032).

22132368 is an apocalyptic number.

2132368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400640).

2132368 is an abundant number, since it is smaller than the sum of its proper divisors (2668912).

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

2132368 is a wasteful number, since it uses less digits than its factorization.

2132368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 2132368 is about 1460.2629900124. The cubic root of 2132368 is about 128.7124979536.

It can be divided in two parts, 2132 and 368, that added together give a square (2500 = 502).

The spelling of 2132368 in words is "two million, one hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 79 112 158 241 316 482 553 632 964 1106 1264 1687 1928 2212 3374 3856 4424 6748 8848 13496 19039 26992 38078 76156 133273 152312 266546 304624 533092 1066184 2132368