Search a number
-
+
2036328 = 2337172331
BaseRepresentation
bin111110001001001101000
310211110022120
413301021220
51010130303
6111351240
723210550
oct7611150
93743276
102036328
111170a18
12822520
13563b38
143b0160
152a3553
hex1f1268

2036328 has 128 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 506880.

The previous prime is 2036323. The next prime is 2036339. The reversal of 2036328 is 8236302.

It is a Cunningham number, because it is equal to 14272-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 2036298 and 2036307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65673 + ... + 65703.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

22036328 is an apocalyptic number.

2036328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2036328 is an abundant number, since it is smaller than the sum of its proper divisors (4599192).

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

2036328 is a wasteful number, since it uses less digits than its factorization.

2036328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2036328 is about 1426.9996496145. Note that the first 3 decimals coincide. The cubic root of 2036328 is about 126.7503724960.

The spelling of 2036328 in words is "two million, thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 23 24 28 31 34 42 46 51 56 62 68 69 84 92 93 102 119 124 136 138 161 168 184 186 204 217 238 248 276 322 357 372 391 408 434 476 483 527 552 644 651 713 714 744 782 868 952 966 1054 1173 1288 1302 1426 1428 1564 1581 1736 1932 2108 2139 2346 2604 2737 2852 2856 3128 3162 3689 3864 4216 4278 4692 4991 5208 5474 5704 6324 7378 8211 8556 9384 9982 10948 11067 12121 12648 14756 14973 16422 17112 19964 21896 22134 24242 29512 29946 32844 36363 39928 44268 48484 59892 65688 72726 84847 88536 96968 119784 145452 169694 254541 290904 339388 509082 678776 1018164 2036328