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87341072 = 24713223269
BaseRepresentation
bin1010011010010…
…11100000010000
320002100101102112
411031023200100
5134324403242
612400004452
72110246460
oct515134020
9202311375
1087341072
1145335705
1225300728
1315130910
14b857ba0
157a03c82
hex534b810

87341072 has 80 divisors (see below), whose sum is σ = 209986560. Its totient is φ = 34269696.

The previous prime is 87341071. The next prime is 87341099. The reversal of 87341072 is 27014378.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (87341071) 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, 324554 + ... + 324822.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 287341072 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 87341072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

87341072 is an abundant number, since it is smaller than the sum of its proper divisors (122645488).

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

87341072 is a wasteful number, since it uses less digits than its factorization.

87341072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 87341072 is about 9345.6445470604. The cubic root of 87341072 is about 443.6830516735.

The spelling of 87341072 in words is "eighty-seven million, three hundred forty-one thousand, seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 223 269 364 446 538 728 892 1076 1456 1561 1784 1883 2152 2899 3122 3497 3568 3766 4304 5798 6244 6994 7532 11596 12488 13988 15064 20293 23192 24479 24976 27976 30128 40586 46384 48958 55952 59987 81172 97916 119974 162344 195832 239948 324688 391664 419909 479896 779831 839818 959792 1559662 1679636 3119324 3359272 5458817 6238648 6718544 10917634 12477296 21835268 43670536 87341072