Search a number
-
+
1000165104 = 243311032099
BaseRepresentation
bin111011100111010…
…100111011110000
32120200222122121000
4323213110323300
54022020240404
6243125002000
733533156151
oct7347247360
92520878530
101000165104
11473626934
1223ab53300
1312c297393
1496b91928
155cc15339
hex3b9d4ef0

1000165104 has 80 divisors (see below), whose sum is σ = 2874816000. Its totient is φ = 332927424.

The previous prime is 1000165099. The next prime is 1000165129. The reversal of 1000165104 is 4015610001.

1000165104 is a `hidden beast` number, since 10 + 0 + 0 + 1 + 651 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 475447 + ... + 477545.

It is an arithmetic number, because the mean of its divisors is an integer number (35935200).

Almost surely, 21000165104 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 1000165104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437408000).

1000165104 is an abundant number, since it is smaller than the sum of its proper divisors (1874650896).

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

1000165104 is a wasteful number, since it uses less digits than its factorization.

1000165104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3207 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1000165104 is about 31625.3870173947. The cubic root of 1000165104 is about 1000.0550316381.

Adding to 1000165104 its reverse (4015610001), we get a palindrome (5015775105).

The spelling of 1000165104 in words is "one billion, one hundred sixty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1103 2099 2206 3309 4198 4412 6297 6618 8396 8824 9927 12594 13236 16792 17648 18891 19854 25188 26472 29781 33584 37782 39708 50376 52944 56673 59562 75564 79416 100752 113346 119124 151128 158832 226692 238248 302256 453384 476496 906768 2315197 4630394 6945591 9260788 13891182 18521576 20836773 27782364 37043152 41673546 55564728 62510319 83347092 111129456 125020638 166694184 250041276 333388368 500082552 1000165104