Search a number
-
+
81037104 = 24337103443
BaseRepresentation
bin1001101010010…
…00011100110000
312122111010000020
410311020130300
5131221141404
612012523440
72002542531
oct465103460
9178433006
1081037104
114181a415
1223180580
1313a34465
14aa96688
1571aaed9
hex4d48730

81037104 has 80 divisors (see below), whose sum is σ = 217581312. Its totient is φ = 25968384.

The previous prime is 81037091. The next prime is 81037153. The reversal of 81037104 is 40173018.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 182707 + ... + 183149.

Almost surely, 281037104 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 81037104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108790656).

81037104 is an abundant number, since it is smaller than the sum of its proper divisors (136544208).

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

81037104 is a wasteful number, since it uses less digits than its factorization.

81037104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 81037104 is about 9002.0610973265. The cubic root of 81037104 is about 432.7409267208.

The spelling of 81037104 in words is "eighty-one million, thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 103 111 148 206 222 296 309 412 443 444 592 618 824 886 888 1236 1329 1648 1772 1776 2472 2658 3544 3811 4944 5316 7088 7622 10632 11433 15244 16391 21264 22866 30488 32782 45629 45732 49173 60976 65564 91258 91464 98346 131128 136887 182516 182928 196692 262256 273774 365032 393384 547548 730064 786768 1095096 1688273 2190192 3376546 5064819 6753092 10129638 13506184 20259276 27012368 40518552 81037104