Search a number
-
+
100900404 = 2235119437
BaseRepresentation
bin1100000001110…
…01111000110100
321000212021100000
412000321320310
5201312303104
614002351300
72333432163
oct600717064
9230767300
10100900404
1151a56a70
122995b530
1317b9a5a7
14d5873da
158cd1639
hex6039e34

100900404 has 72 divisors (see below), whose sum is σ = 288576288. Its totient is φ = 30572640.

The previous prime is 100900391. The next prime is 100900409. The reversal of 100900404 is 404009001.

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 (100900409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5974 + ... + 15410.

It is an arithmetic number, because the mean of its divisors is an integer number (4008004).

Almost surely, 2100900404 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 100900404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144288144).

100900404 is an abundant number, since it is smaller than the sum of its proper divisors (187675884).

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

100900404 is a wasteful number, since it uses less digits than its factorization.

100900404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9467 (or 9453 counting only the distinct ones).

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

The square root of 100900404 is about 10044.9193127670. The cubic root of 100900404 is about 465.5478246880.

Adding to 100900404 its reverse (404009001), we get a palindrome (504909405).

The spelling of 100900404 in words is "one hundred million, nine hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 9437 10692 18874 28311 37748 56622 84933 103807 113244 169866 207614 254799 311421 339732 415228 509598 622842 764397 934263 1019196 1245684 1528794 1868526 2293191 2802789 3057588 3737052 4586382 5605578 8408367 9172764 11211156 16816734 25225101 33633468 50450202 100900404