Search a number
-
+
191438880 = 25351093659
BaseRepresentation
bin10110110100100…
…10000000100000
3111100020002202220
423122102000200
5343002021010
630555111040
74513126563
oct1332220040
9440202686
10191438880
1199075956
1254142480
133087a659
141b5d44da
1511c17970
hexb692020

191438880 has 96 divisors (see below), whose sum is σ = 608731200. Its totient is φ = 50568192.

The previous prime is 191438873. The next prime is 191438917. The reversal of 191438880 is 88834191.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50491 + ... + 54149.

It is an arithmetic number, because the mean of its divisors is an integer number (6340950).

Almost surely, 2191438880 is an apocalyptic number.

191438880 is a gapful number since it is divisible by the number (10) 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 191438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304365600).

191438880 is an abundant number, since it is smaller than the sum of its proper divisors (417292320).

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

191438880 is a wasteful number, since it uses less digits than its factorization.

191438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3786 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 191438880 is about 13836.1439714973. The cubic root of 191438880 is about 576.3372831714.

The spelling of 191438880 in words is "one hundred ninety-one million, four hundred thirty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 3659 4360 5232 6540 7318 8720 10464 10977 13080 14636 17440 18295 21954 26160 29272 36590 43908 52320 54885 58544 73180 87816 109770 117088 146360 175632 219540 292720 351264 398831 439080 585440 797662 878160 1196493 1595324 1756320 1994155 2392986 3190648 3988310 4785972 5982465 6381296 7976620 9571944 11964930 12762592 15953240 19143888 23929860 31906480 38287776 47859720 63812960 95719440 191438880