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87730104 = 233711291637
BaseRepresentation
bin1010011101010…
…10011110111000
320010002011002010
411032222132320
5134424330404
612412205520
72113456620
oct516523670
9203064063
1087730104
1145580a20
12254698a0
1315238a07
14b919880
157a7e189
hex53aa7b8

87730104 has 128 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 21987840.

The previous prime is 87730103. The next prime is 87730151. The reversal of 87730104 is 40103778.

It is a happy number.

It is a super-2 number, since 2×877301042 = 15393142295701632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87730103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52774 + ... + 54410.

It is an arithmetic number, because the mean of its divisors is an integer number (2211300).

Almost surely, 287730104 is an apocalyptic number.

87730104 is a gapful number since it is divisible by the number (84) 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 87730104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

87730104 is an abundant number, since it is smaller than the sum of its proper divisors (195316296).

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

87730104 is a wasteful number, since it uses less digits than its factorization.

87730104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 87730104 is about 9366.4349674783. The cubic root of 87730104 is about 444.3408226388.

The spelling of 87730104 in words is "eighty-seven million, seven hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 1218 1276 1624 1637 1848 1914 2233 2436 2552 3274 3828 4466 4872 4911 6548 6699 7656 8932 9822 11459 13096 13398 17864 18007 19644 22918 26796 34377 36014 39288 45836 47473 53592 54021 68754 72028 91672 94946 108042 126049 137508 142419 144056 189892 216084 252098 275016 284838 332311 378147 379784 432168 504196 522203 569676 664622 756294 996933 1008392 1044406 1139352 1329244 1512588 1566609 1993866 2088812 2658488 3025176 3133218 3655421 3987732 4177624 6266436 7310842 7975464 10966263 12532872 14621684 21932526 29243368 43865052 87730104