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87760404 = 223214916361
BaseRepresentation
bin1010011101100…
…01111000010100
320010010200122100
411032301320110
5134431313104
612413002100
72113644144
oct516617024
9203120570
1087760404
11455a1766
1225483330
1315249744
14b926924
157a88139
hex53b1e14

87760404 has 36 divisors (see below), whose sum is σ = 223341300. Its totient is φ = 29055360.

The previous prime is 87760403. The next prime is 87760417. The reversal of 87760404 is 40406778.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20684304 + 67076100 = 4548^2 + 8190^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87760403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2817 + ... + 13544.

It is an arithmetic number, because the mean of its divisors is an integer number (6203925).

Almost surely, 287760404 is an apocalyptic number.

It is an amenable number.

87760404 is an abundant number, since it is smaller than the sum of its proper divisors (135580896).

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

87760404 is a wasteful number, since it uses less digits than its factorization.

87760404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16520 (or 16515 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87760404 is about 9368.0523055756. The cubic root of 87760404 is about 444.3919718515.

The spelling of 87760404 in words is "eighty-seven million, seven hundred sixty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 149 298 447 596 894 1341 1788 2682 5364 16361 32722 49083 65444 98166 147249 196332 294498 588996 2437789 4875578 7313367 9751156 14626734 21940101 29253468 43880202 87760404