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906130404 = 22322921732
BaseRepresentation
bin110110000000100…
…111001111100100
32100011001012020100
4312000213033210
53323432133104
6225525304100
731311660414
oct6600471744
92304035210
10906130404
1142553a203
12213565030
13115961b4a
14884b4644
155483d139
hex360273e4

906130404 has 81 divisors (see below), whose sum is σ = 2385993883. Its totient is φ = 289942464.

The previous prime is 906130397. The next prime is 906130409. The reversal of 906130404 is 404031609.

The square root of 906130404 is 30102.

It is a perfect power (a square), and thus also a powerful number.

906130404 is a `hidden beast` number, since 9 + 0 + 613 + 0 + 40 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 211702500 + 694427904 = 14550^2 + 26352^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906130409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5237662 + ... + 5237834.

Almost surely, 2906130404 is an apocalyptic number.

906130404 is the 30102-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 906130404

906130404 is an abundant number, since it is smaller than the sum of its proper divisors (1479863479).

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

906130404 is a wasteful number, since it uses less digits than its factorization.

906130404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 906130404 is about 967.6765889635.

The spelling of 906130404 in words is "nine hundred six million, one hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 261 346 348 519 522 692 841 1038 1044 1557 1682 2076 2523 3114 3364 5017 5046 6228 7569 10034 10092 15051 15138 20068 29929 30102 30276 45153 59858 60204 89787 90306 119716 145493 179574 180612 269361 290986 359148 436479 538722 581972 867941 872958 1077444 1309437 1735882 1745916 2603823 2618874 3471764 5207646 5237748 7811469 10415292 15622938 25170289 31245876 50340578 75510867 100681156 151021734 226532601 302043468 453065202 906130404