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87741104 = 24114710607
BaseRepresentation
bin1010011101011…
…01001010110000
320010002201011112
411032231022300
5134430203404
612412332452
72113533653
oct516551260
9203081145
1087741104
1145589210
1225474128
1315240a19
14b91d89a
157a8256e
hex53ad2b0

87741104 has 40 divisors (see below), whose sum is σ = 189416448. Its totient is φ = 39030080.

The previous prime is 87741103. The next prime is 87741127. The reversal of 87741104 is 40114778.

It is a super-2 number, since 2×877411042 = 15397002662277632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87741103) 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 7 ways as a sum of consecutive naturals, for example, 2969 + ... + 13575.

Almost surely, 287741104 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 87741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94708224).

87741104 is an abundant number, since it is smaller than the sum of its proper divisors (101675344).

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

87741104 is a wasteful number, since it uses less digits than its factorization.

87741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673 (or 10667 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The square root of 87741104 is about 9367.0221522104. The cubic root of 87741104 is about 444.3593930214.

The spelling of 87741104 in words is "eighty-seven million, seven hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272 10607 21214 42428 84856 116677 169712 233354 466708 498529 933416 997058 1866832 1994116 3988232 5483819 7976464 10967638 21935276 43870552 87741104