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2152832 = 27112139
BaseRepresentation
bin1000001101100110000000
311001101010112
420031212000
51022342312
6114050452
724204323
oct10154600
94041115
102152832
111240500
12879a28
135a4b86
144007ba
152c7d22
hex20d980

2152832 has 48 divisors (see below), whose sum is σ = 4748100. Its totient is φ = 971520.

The previous prime is 2152831. The next prime is 2152837. The reversal of 2152832 is 2382512.

It is a junction number, because it is equal to n+sod(n) for n = 2152798 and 2152807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152831) 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 5 ways as a sum of consecutive naturals, for example, 15419 + ... + 15557.

22152832 is an apocalyptic number.

2152832 is a gapful number since it is divisible by the number (22) 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 2152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374050).

2152832 is an abundant number, since it is smaller than the sum of its proper divisors (2595268).

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

2152832 is a wasteful number, since it uses less digits than its factorization.

2152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 152 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 2152832 is about 1467.2532160469. The cubic root of 2152832 is about 129.1229323090.

The spelling of 2152832 in words is "two million, one hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 139 176 242 278 352 484 556 704 968 1112 1408 1529 1936 2224 3058 3872 4448 6116 7744 8896 12232 15488 16819 17792 24464 33638 48928 67276 97856 134552 195712 269104 538208 1076416 2152832