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2123152 = 24132697
BaseRepresentation
bin1000000110010110010000
310222212102021
420012112100
51020420102
6113301224
724021643
oct10062620
93885367
102123152
111220179
12864814
13594505
143d3a5a
152be137
hex206590

2123152 has 10 divisors (see below), whose sum is σ = 4113638. Its totient is φ = 1061568.

The previous prime is 2123141. The next prime is 2123161. The reversal of 2123152 is 2513212.

It can be written as a sum of positive squares in only one way, i.e., 1115136 + 1008016 = 1056^2 + 1004^2 .

It is a Harshad number since it is a multiple of its sum of digits (16), and also a Moran number because the ratio is a prime number: 132697 = 2123152 / (2 + 1 + 2 + 3 + 1 + 5 + 2).

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 66333 + ... + 66364.

22123152 is an apocalyptic number.

It is an amenable number.

2123152 is a deficient number, since it is larger than the sum of its proper divisors (1990486).

2123152 is a wasteful number, since it uses less digits than its factorization.

2123152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132705 (or 132699 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 2123152 is about 1457.1039770723. The cubic root of 2123152 is about 128.5268002663.

Adding to 2123152 its reverse (2513212), we get a palindrome (4636364).

It can be divided in two parts, 212 and 3152, that added together give a square (3364 = 582).

The spelling of 2123152 in words is "two million, one hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 132697 265394 530788 1061576 2123152