Search a number
-
+
2133432 = 233371783
BaseRepresentation
bin1000001000110110111000
311000101112000
420020312320
51021232212
6113421000
724063630
oct10106670
94011460
102133432
111227974
1286a760
135990b2
143d76c0
152c21dc
hex208db8

2133432 has 128 divisors (see below), whose sum is σ = 7257600. Its totient is φ = 566784.

The previous prime is 2133431. The next prime is 2133433. The reversal of 2133432 is 2343312.

It is an interprime number because it is at equal distance from previous prime (2133431) and next prime (2133433).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 213 + 1 + 3 + 38 + 43 + 313 + 219 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133431) 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, 25663 + ... + 25745.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

22133432 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 2133432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800).

2133432 is an abundant number, since it is smaller than the sum of its proper divisors (5124168).

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

2133432 is a wasteful number, since it uses less digits than its factorization.

2133432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 2133432 is about 1460.6272625143. The cubic root of 2133432 is about 128.7339025339.

Adding to 2133432 its reverse (2343312), we get a palindrome (4476744).

The spelling of 2133432 in words is "two million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 83 84 102 108 119 126 136 153 166 168 189 204 216 238 249 252 306 332 357 378 408 459 476 498 504 581 612 664 714 747 756 918 952 996 1071 1162 1224 1411 1428 1494 1512 1743 1836 1992 2142 2241 2324 2822 2856 2988 3213 3486 3672 4233 4284 4482 4648 5229 5644 5976 6426 6972 8466 8568 8964 9877 10458 11288 12699 12852 13944 15687 16932 17928 19754 20916 25398 25704 29631 31374 33864 38097 39508 41832 50796 59262 62748 76194 79016 88893 101592 118524 125496 152388 177786 237048 266679 304776 355572 533358 711144 1066716 2133432