Search a number
-
+
881238540 = 2235721323057
BaseRepresentation
bin110100100001101…
…010001000001100
32021102012120000110
4310201222020030
53301044113130
6223240000020
730560255400
oct6441521014
92242176013
10881238540
11412488616
12207160010
13110757c30
1485075100
1552572ab0
hex3486a20c

881238540 has 144 divisors (see below), whose sum is σ = 3091247712. Its totient is φ = 185923584.

The previous prime is 881238539. The next prime is 881238551. The reversal of 881238540 is 45832188.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26692 + ... + 49748.

It is an arithmetic number, because the mean of its divisors is an integer number (21466998).

Almost surely, 2881238540 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 881238540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545623856).

881238540 is an abundant number, since it is smaller than the sum of its proper divisors (2210009172).

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

881238540 is a wasteful number, since it uses less digits than its factorization.

881238540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23096 (or 23087 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 881238540 is about 29685.6621957470. The cubic root of 881238540 is about 958.7333337802.

The spelling of 881238540 in words is "eight hundred eighty-one million, two hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 23057 38220 46114 69171 92228 115285 138342 161399 230570 276684 299741 322798 345855 461140 484197 599482 645596 691710 806995 899223 968394 1129793 1198964 1383420 1498705 1613990 1798446 1936788 2098187 2259586 2420985 2997410 3227980 3389379 3596892 4196374 4496115 4519172 4841970 5648965 5994820 6294561 6778758 8392748 8992230 9683940 10490935 11297930 12589122 13557516 14687309 16946895 17984460 20981870 22595860 25178244 29374618 31472805 33893790 41963740 44061927 58749236 62945610 67787580 73436545 88123854 125891220 146873090 176247708 220309635 293746180 440619270 881238540