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87807104 = 2771159151
BaseRepresentation
bin1010011101111…
…01010010000000
320010020001200222
411032331102000
5134434311404
612414002212
72114230250
oct516752200
9203201628
1087807104
1145623860
12254a6368
1315264a88
14b939960
157a96dbe
hex53bd480

87807104 has 128 divisors (see below), whose sum is σ = 223257600. Its totient is φ = 33408000.

The previous prime is 87807103. The next prime is 87807107. The reversal of 87807104 is 40170878.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (87807103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581429 + ... + 581579.

It is an arithmetic number, because the mean of its divisors is an integer number (1744200).

Almost surely, 287807104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111628800).

87807104 is an abundant number, since it is smaller than the sum of its proper divisors (135450496).

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

87807104 is a wasteful number, since it uses less digits than its factorization.

87807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 35.

The square root of 87807104 is about 9370.5444879153. The cubic root of 87807104 is about 444.4707827354.

The spelling of 87807104 in words is "eighty-seven million, eight hundred seven thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 128 151 154 176 224 236 302 308 352 413 448 472 604 616 649 704 826 896 944 1057 1208 1232 1298 1408 1652 1661 1888 2114 2416 2464 2596 3304 3322 3776 4228 4543 4832 4928 5192 6608 6644 7552 8456 8909 9086 9664 9856 10384 11627 13216 13288 16912 17818 18172 19328 20768 23254 26432 26576 33824 35636 36344 41536 46508 52864 53152 62363 67648 71272 72688 83072 93016 97999 106304 124726 135296 142544 145376 186032 195998 212608 249452 285088 290752 372064 391996 498904 570176 581504 685993 744128 783992 997808 1140352 1371986 1488256 1567984 1995616 2743972 3135968 3991232 5487944 6271936 7982464 10975888 12543872 21951776 43903552 87807104