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1004120404 = 227531514481
BaseRepresentation
bin111011110110011…
…010100101010100
32120222102121020121
4323312122211110
54024023323104
6243345441324
733611611510
oct7366324524
92528377217
101004120404
11475888581
12240340244
131300507b1
1497501140
155d247254
hex3bd9a954

1004120404 has 48 divisors (see below), whose sum is σ = 2060142336. Its totient is φ = 419328000.

The previous prime is 1004120363. The next prime is 1004120443. The reversal of 1004120404 is 4040214001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 221844 + ... + 226324.

It is an arithmetic number, because the mean of its divisors is an integer number (42919632).

Almost surely, 21004120404 is an apocalyptic number.

1004120404 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 1004120404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030071168).

1004120404 is an abundant number, since it is smaller than the sum of its proper divisors (1056021932).

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

1004120404 is a wasteful number, since it uses less digits than its factorization.

1004120404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1004120404 is about 31687.8589368231. The cubic root of 1004120404 is about 1001.3715858920.

Adding to 1004120404 its reverse (4040214001), we get a palindrome (5044334405).

The spelling of 1004120404 in words is "one billion, four million, one hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 28 53 106 151 212 302 371 604 742 1057 1484 2114 4228 4481 8003 8962 16006 17924 31367 32012 56021 62734 112042 125468 224084 237493 474986 676631 949972 1353262 1662451 2706524 3324902 4736417 6649804 9472834 18945668 35861443 71722886 143445772 251030101 502060202 1004120404