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2155328 = 26717283
BaseRepresentation
bin1000001110001101000000
311001111112222
420032031000
51022432303
6114110212
724214520
oct10161500
94044488
102155328
11124236a
1287b368
135a6056
14401680
152c8938
hex20e340

2155328 has 56 divisors (see below), whose sum is σ = 5193792. Its totient is φ = 866304.

The previous prime is 2155327. The next prime is 2155333. The reversal of 2155328 is 8235512.

It is a tau number, because it is divible by the number of its divisors (56).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2155297 and 2155306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7475 + ... + 7757.

22155328 is an apocalyptic number.

2155328 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 2155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596896).

2155328 is an abundant number, since it is smaller than the sum of its proper divisors (3038464).

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

2155328 is a wasteful number, since it uses less digits than its factorization.

2155328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 2155328 is about 1468.1035385830. The cubic root of 2155328 is about 129.1728148767.

The spelling of 2155328 in words is "two million, one hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 283 448 476 544 566 952 1088 1132 1904 1981 2264 3808 3962 4528 4811 7616 7924 9056 9622 15848 18112 19244 31696 33677 38488 63392 67354 76976 126784 134708 153952 269416 307904 538832 1077664 2155328