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2152384 = 26132199
BaseRepresentation
bin1000001101011111000000
311001100111221
420031133000
51022334014
6114044424
724203113
oct10153700
94040457
102152384
111240133
12879714
135a4900
1440057a
152c7b24
hex20d7c0

2152384 has 42 divisors (see below), whose sum is σ = 4648200. Its totient is φ = 988416.

The previous prime is 2152373. The next prime is 2152393. The reversal of 2152384 is 4832512.

2152384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10717 + ... + 10915.

22152384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324100).

2152384 is an abundant number, since it is smaller than the sum of its proper divisors (2495816).

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

2152384 is a wasteful number, since it uses less digits than its factorization.

2152384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 2152384 is about 1467.1005418853. The cubic root of 2152384 is about 129.1139749470.

Adding to 2152384 its reverse (4832512), we get a palindrome (6984896).

The spelling of 2152384 in words is "two million, one hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 199 208 338 398 416 676 796 832 1352 1592 2587 2704 3184 5174 5408 6368 10348 10816 12736 20696 33631 41392 67262 82784 134524 165568 269048 538096 1076192 2152384