Search a number
-
+
2129352 = 233172307
BaseRepresentation
bin1000000111110111001000
311000011220220
420013313020
51021114402
6113350040
724046011
oct10076710
94004826
102129352
1112248a5
12868320
13597294
143d6008
152c0dbc
hex207dc8

2129352 has 48 divisors (see below), whose sum is σ = 5673360. Its totient is φ = 665856.

The previous prime is 2129333. The next prime is 2129353. The reversal of 2129352 is 2539212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2129353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6783 + ... + 7089.

It is an arithmetic number, because the mean of its divisors is an integer number (118195).

22129352 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 2129352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836680).

2129352 is an abundant number, since it is smaller than the sum of its proper divisors (3544008).

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

2129352 is a wasteful number, since it uses less digits than its factorization.

2129352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 329 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2129352 is about 1459.2299339035. The cubic root of 2129352 is about 128.6517860974.

The spelling of 2129352 in words is "two million, one hundred twenty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 307 408 578 614 867 921 1156 1228 1734 1842 2312 2456 3468 3684 5219 6936 7368 10438 15657 20876 31314 41752 62628 88723 125256 177446 266169 354892 532338 709784 1064676 2129352