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100004166 = 23317412657
BaseRepresentation
bin1011111010111…
…11000101000110
320222011201221000
411331133011012
5201100113131
613531234130
72323010223
oct575370506
9228151830
10100004166
11514a4679
12295a8946
1317945682
14d3d294a
158ba5ce6
hex5f5f146

100004166 has 64 divisors (see below), whose sum is σ = 241133760. Its totient is φ = 30597120.

The previous prime is 100004159. The next prime is 100004167. The reversal of 100004166 is 661400001.

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 (100004167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36310 + ... + 38966.

It is an arithmetic number, because the mean of its divisors is an integer number (3767715).

Almost surely, 2100004166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100004166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120566880).

100004166 is an abundant number, since it is smaller than the sum of its proper divisors (141129594).

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

100004166 is a wasteful number, since it uses less digits than its factorization.

100004166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100004166 is about 10000.2082978306. The cubic root of 100004166 is about 464.1653288915.

Adding to 100004166 its reverse (661400001), we get a palindrome (761404167).

The spelling of 100004166 in words is "one hundred million, four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 738 918 1107 1394 2091 2214 2657 4182 5314 6273 7971 12546 15942 18819 23913 37638 45169 47826 71739 90338 108937 135507 143478 217874 271014 326811 406521 653622 813042 980433 1219563 1851929 1960866 2439126 2941299 3703858 5555787 5882598 11111574 16667361 33334722 50002083 100004166