Search a number
-
+
459053820 = 223253768927
BaseRepresentation
bin11011010111001…
…001101011111100
31011222210100110100
4123113021223330
51420004210240
6113315041100
714242615221
oct3327115374
91158710410
10459053820
1121613aa25
121098a0190
13741499a4
1444d77948
152a47ae30
hex1b5c9afc

459053820 has 72 divisors (see below), whose sum is σ = 1430118144. Its totient is φ = 119104128.

The previous prime is 459053809. The next prime is 459053821. The reversal of 459053820 is 28350954.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459053821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27804 + ... + 41123.

It is an arithmetic number, because the mean of its divisors is an integer number (19862752).

Almost surely, 2459053820 is an apocalyptic number.

It is an amenable number.

459053820 is an abundant number, since it is smaller than the sum of its proper divisors (971064324).

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

459053820 is a wasteful number, since it uses less digits than its factorization.

459053820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68979 (or 68974 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 459053820 is about 21425.5413000465. The cubic root of 459053820 is about 771.4146255562.

The spelling of 459053820 in words is "four hundred fifty-nine million, fifty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 68927 137854 206781 275708 344635 413562 620343 689270 827124 1033905 1240686 1378540 2067810 2481372 2550299 3101715 4135620 5100598 6203430 7650897 10201196 12406860 12751495 15301794 22952691 25502990 30603588 38254485 45905382 51005980 76508970 91810764 114763455 153017940 229526910 459053820