Search a number
-
+
405141102 = 2342838837
BaseRepresentation
bin11000001001011…
…111011001101110
31001020100022010000
4120021133121232
51312204003402
6104111325130
713016433252
oct3011373156
91036308100
10405141102
11198767563
12b38207a6
1365c21682
143bb42262
152587bc1c
hex1825f66e

405141102 has 40 divisors (see below), whose sum is σ = 911127096. Its totient is φ = 134554608.

The previous prime is 405141097. The next prime is 405141109. The reversal of 405141102 is 201141504.

405141102 is a `hidden beast` number, since 40 + 514 + 110 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405141109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41428 + ... + 50264.

Almost surely, 2405141102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405141102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455563548).

405141102 is an abundant number, since it is smaller than the sum of its proper divisors (505985994).

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

405141102 is a wasteful number, since it uses less digits than its factorization.

405141102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9125 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 405141102 is about 20128.1171995793. The cubic root of 405141102 is about 739.9495351512.

Adding to 405141102 its reverse (201141504), we get a palindrome (606282606).

It can be divided in two parts, 40514 and 1102, that added together give a triangular number (41616 = T288).

The spelling of 405141102 in words is "four hundred five million, one hundred forty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 283 566 849 1698 2547 5094 7641 8837 15282 17674 22923 26511 45846 53022 79533 159066 238599 477198 715797 1431594 2500871 5001742 7502613 15005226 22507839 45015678 67523517 135047034 202570551 405141102