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100420404 = 22372672549
BaseRepresentation
bin1011111110001…
…00101100110100
320222221212220020
411333010230310
5201201423104
613544205140
72326362600
oct577045464
9228855806
10100420404
1151759377
12297697b0
1317a5cc76
14d4a0500
158c392d9
hex5fc4b34

100420404 has 72 divisors (see below), whose sum is σ = 276746400. Its totient is φ = 28252224.

The previous prime is 100420403. The next prime is 100420421. The reversal of 100420404 is 404024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100420403) 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, 38122 + ... + 40670.

It is an arithmetic number, because the mean of its divisors is an integer number (3843700).

Almost surely, 2100420404 is an apocalyptic number.

100420404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100420404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138373200).

100420404 is an abundant number, since it is smaller than the sum of its proper divisors (176325996).

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

100420404 is a wasteful number, since it uses less digits than its factorization.

100420404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 100420404 is about 10020.9981538767. The cubic root of 100420404 is about 464.8084214858.

Adding to 100420404 its reverse (404024001), we get a palindrome (504444405).

The spelling of 100420404 in words is "one hundred million, four hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 402 469 588 804 938 1407 1876 2549 2814 3283 5098 5628 6566 7647 9849 10196 13132 15294 17843 19698 30588 35686 39396 53529 71372 107058 124901 170783 214116 249802 341566 374703 499604 512349 683132 749406 1024698 1195481 1498812 2049396 2390962 3586443 4781924 7172886 8368367 14345772 16736734 25105101 33473468 50210202 100420404