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159415380 = 223254121601
BaseRepresentation
bin10011000000001…
…11110001010100
3102002222010210100
421200013301110
5311302243010
623452454100
73644002605
oct1140076124
9362863710
10159415380
1181a93153
124547a330
1327047637
1417259dac
15dede2c0
hex9807c54

159415380 has 72 divisors (see below), whose sum is σ = 495377064. Its totient is φ = 41472000.

The previous prime is 159415379. The next prime is 159415391. The reversal of 159415380 is 83514951.

It can be written as a sum of positive squares in 4 ways, for example, as 11209104 + 148206276 = 3348^2 + 12174^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3421 + ... + 18180.

It is an arithmetic number, because the mean of its divisors is an integer number (6880237).

Almost surely, 2159415380 is an apocalyptic number.

159415380 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 159415380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247688532).

159415380 is an abundant number, since it is smaller than the sum of its proper divisors (335961684).

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

159415380 is a wasteful number, since it uses less digits than its factorization.

159415380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21657 (or 21652 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 159415380 is about 12625.9803579762. The cubic root of 159415380 is about 542.2215068433.

It can be divided in two parts, 15941 and 5380, that added together give a triangular number (21321 = T206).

The spelling of 159415380 in words is "one hundred fifty-nine million, four hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 21601 43202 64803 86404 108005 129606 194409 216010 259212 324015 388818 432020 648030 777636 885641 972045 1296060 1771282 1944090 2656923 3542564 3888180 4428205 5313846 7970769 8856410 10627692 13284615 15941538 17712820 26569230 31883076 39853845 53138460 79707690 159415380