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2152904 = 2313127163
BaseRepresentation
bin1000001101100111001000
311001101020012
420031213020
51022343104
6114051052
724204455
oct10154710
94041205
102152904
111240566
12879a88
135a4c10
1440082c
152c7d6e
hex20d9c8

2152904 has 32 divisors (see below), whose sum is σ = 4408320. Its totient is φ = 979776.

The previous prime is 2152903. The next prime is 2152907. The reversal of 2152904 is 4092512.

2152904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2152904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13127 + ... + 13289.

It is an arithmetic number, because the mean of its divisors is an integer number (137760).

22152904 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 2152904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204160).

2152904 is an abundant number, since it is smaller than the sum of its proper divisors (2255416).

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

2152904 is a wasteful number, since it uses less digits than its factorization.

2152904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 2152904 is about 1467.2777514840. The cubic root of 2152904 is about 129.1243717691.

It can be divided in two parts, 21 and 52904, that added together give a palindrome (52925).

The spelling of 2152904 in words is "two million, one hundred fifty-two thousand, nine hundred four".

Divisors: 1 2 4 8 13 26 52 104 127 163 254 326 508 652 1016 1304 1651 2119 3302 4238 6604 8476 13208 16952 20701 41402 82804 165608 269113 538226 1076452 2152904