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2129328 = 24343153
BaseRepresentation
bin1000000111110110110000
311000011220000
420013312300
51021114303
6113350000
724045645
oct10076660
94004800
102129328
111224883
12868300
13597276
143d5dcc
152c0da3
hex207db0

2129328 has 100 divisors (see below), whose sum is σ = 6481728. Its totient is φ = 673920.

The previous prime is 2129321. The next prime is 2129329. The reversal of 2129328 is 8239212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2129321) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40150 + ... + 40202.

22129328 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 2129328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240864).

2129328 is an abundant number, since it is smaller than the sum of its proper divisors (4352400).

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

2129328 is a wasteful number, since it uses less digits than its factorization.

2129328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2129328 is about 1459.2217103648. The cubic root of 2129328 is about 128.6513027494.

It can be divided in two parts, 21293 and 28, that added together give a triangular number (21321 = T206).

The spelling of 2129328 in words is "two million, one hundred twenty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 53 54 62 72 81 93 106 108 124 144 159 162 186 212 216 248 279 318 324 372 424 432 477 496 558 636 648 744 837 848 954 1116 1272 1296 1431 1488 1643 1674 1908 2232 2511 2544 2862 3286 3348 3816 4293 4464 4929 5022 5724 6572 6696 7632 8586 9858 10044 11448 13144 13392 14787 17172 19716 20088 22896 26288 29574 34344 39432 40176 44361 59148 68688 78864 88722 118296 133083 177444 236592 266166 354888 532332 709776 1064664 2129328