Search a number
-
+
451023320 = 235111576529
BaseRepresentation
bin11010111000100…
…001000111011000
31011102200100200102
4122320201013120
51410430221240
6112430554532
714114430536
oct3270410730
91142610612
10451023320
11211655550
12107068a48
1372597707
1443c87156
15298e1815
hex1ae211d8

451023320 has 64 divisors (see below), whose sum is σ = 1114279200. Its totient is φ = 162938880.

The previous prime is 451023299. The next prime is 451023337. The reversal of 451023320 is 23320154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 451023292 and 451023301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65816 + ... + 72344.

Almost surely, 2451023320 is an apocalyptic number.

451023320 is a gapful number since it is divisible by the number (40) 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 451023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557139600).

451023320 is an abundant number, since it is smaller than the sum of its proper divisors (663255880).

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

451023320 is a wasteful number, since it uses less digits than its factorization.

451023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6704 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 451023320 is about 21237.3096224545. The cubic root of 451023320 is about 766.8898665404.

Adding to 451023320 its reverse (23320154), we get a palindrome (474343474).

The spelling of 451023320 in words is "four hundred fifty-one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6529 6908 8635 13058 13816 17270 26116 32645 34540 52232 65290 69080 71819 130580 143638 261160 287276 359095 574552 718190 1025053 1436380 2050106 2872760 4100212 5125265 8200424 10250530 11275583 20501060 22551166 41002120 45102332 56377915 90204664 112755830 225511660 451023320