[go: up one dir, main page]

Search a number
-
+
117571446 = 23323181523
BaseRepresentation
bin1110000000111…
…11111101110110
322012020020201000
413000133331312
5220044241241
615355544130
72625224616
oct700377566
9265206630
10117571446
1160403193
123345b046
131b486705
1411886a46
15a4c5eb6
hex701ff76

117571446 has 64 divisors (see below), whose sum is σ = 274659840. Its totient is φ = 37208160.

The previous prime is 117571427. The next prime is 117571457. The reversal of 117571446 is 644175711.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 117571446.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224541 + ... + 225063.

It is an arithmetic number, because the mean of its divisors is an integer number (4291560).

Almost surely, 2117571446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117571446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137329920).

117571446 is an abundant number, since it is smaller than the sum of its proper divisors (157088394).

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

117571446 is a wasteful number, since it uses less digits than its factorization.

117571446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 117571446 is about 10843.0367517592. The cubic root of 117571446 is about 489.8923073061.

It can be divided in two parts, 11757 and 1446, that added together give a triangular number (13203 = T162).

The spelling of 117571446 in words is "one hundred seventeen million, five hundred seventy-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 181 207 362 414 523 543 621 1046 1086 1242 1569 1629 3138 3258 4163 4707 4887 8326 9414 9774 12029 12489 14121 24058 24978 28242 36087 37467 72174 74934 94663 108261 112401 189326 216522 224802 283989 324783 567978 649566 851967 1703934 2177249 2555901 4354498 5111802 6531747 13063494 19595241 39190482 58785723 117571446