Search a number
-
+
439130440 = 235753127233
BaseRepresentation
bin11010001011001…
…001100101001000
31010121022010201101
4122023021211020
51344404133230
6111324031144
713611355450
oct3213114510
91117263641
10439130440
11205972221
121030924b4
136cc923c8
144246cd60
1528842aca
hex1a2c9948

439130440 has 128 divisors (see below), whose sum is σ = 1164533760. Its totient is φ = 145926144.

The previous prime is 439130437. The next prime is 439130443. The reversal of 439130440 is 44031934.

It is an interprime number because it is at equal distance from previous prime (439130437) and next prime (439130443).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 439130399 and 439130408.

It is not an unprimeable number, because it can be changed into a prime (439130443) 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, 1884564 + ... + 1884796.

It is an arithmetic number, because the mean of its divisors is an integer number (9097920).

Almost surely, 2439130440 is an apocalyptic number.

439130440 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 439130440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582266880).

439130440 is an abundant number, since it is smaller than the sum of its proper divisors (725403320).

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

439130440 is a wasteful number, since it uses less digits than its factorization.

439130440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 439130440 is about 20955.4393893328. The cubic root of 439130440 is about 760.0891169736.

The spelling of 439130440 in words is "four hundred thirty-nine million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 127 140 212 233 254 265 280 371 424 466 508 530 635 742 889 932 1016 1060 1165 1270 1484 1631 1778 1855 1864 2120 2330 2540 2968 3262 3556 3710 4445 4660 5080 6524 6731 7112 7420 8155 8890 9320 12349 13048 13462 14840 16310 17780 24698 26924 29591 32620 33655 35560 47117 49396 53848 59182 61745 65240 67310 86443 94234 98792 118364 123490 134620 147955 172886 188468 207137 235585 236728 246980 269240 295910 345772 376936 414274 432215 471170 493960 591820 691544 828548 864430 942340 1035685 1183640 1568323 1657096 1728860 1884680 2071370 3136646 3457720 4142740 6273292 7841615 8285480 10978261 12546584 15683230 21956522 31366460 43913044 54891305 62732920 87826088 109782610 219565220 439130440