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100004058 = 2347118017
BaseRepresentation
bin1011111010111…
…11000011011010
320222011201210000
411331133003122
5201100112213
613531233430
72323010010
oct575370332
9228151700
10100004058
11514a4590
12295a8876
13179455cb
14d3d28b0
158ba5c73
hex5f5f0da

100004058 has 80 divisors (see below), whose sum is σ = 279411264. Its totient is φ = 25971840.

The previous prime is 100004041. The next prime is 100004059. The reversal of 100004058 is 850400001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100004058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100004059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8466 + ... + 16482.

Almost surely, 2100004058 is an apocalyptic number.

100004058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100004058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139705632).

100004058 is an abundant number, since it is smaller than the sum of its proper divisors (179407206).

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

100004058 is a wasteful number, since it uses less digits than its factorization.

100004058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8049 (or 8040 counting only the distinct ones).

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

The square root of 100004058 is about 10000.2028979416. The cubic root of 100004058 is about 464.1651617988.

Adding to 100004058 its reverse (850400001), we get a palindrome (950404059).

The spelling of 100004058 in words is "one hundred million, four thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 462 567 594 693 891 1134 1386 1782 2079 4158 6237 8017 12474 16034 24051 48102 56119 72153 88187 112238 144306 168357 176374 216459 264561 336714 432918 505071 529122 617309 649377 793683 1010142 1234618 1298754 1515213 1587366 1851927 2381049 3030426 3703854 4545639 4762098 5555781 7143147 9091278 11111562 14286294 16667343 33334686 50002029 100004058