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87073536 = 283112937
BaseRepresentation
bin1010011000010…
…10001100000000
320001211210102210
411030022030000
5134242323121
612350142120
72105053464
oct514121400
9201753383
1087073536
1145172700
12251b1940
1315068c04
14b7c84a4
15799e876
hex530a300

87073536 has 108 divisors (see below), whose sum is σ = 254997176. Its totient is φ = 26357760.

The previous prime is 87073531. The next prime is 87073537. The reversal of 87073536 is 63537078.

It is a junction number, because it is equal to n+sod(n) for n = 87073494 and 87073503.

It is not an unprimeable number, because it can be changed into a prime (87073531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92460 + ... + 93396.

Almost surely, 287073536 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 87073536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127498588).

87073536 is an abundant number, since it is smaller than the sum of its proper divisors (167923640).

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

87073536 is a wasteful number, since it uses less digits than its factorization.

87073536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 87073536 is about 9331.3201638353. The cubic root of 87073536 is about 443.2295705050.

The spelling of 87073536 in words is "eighty-seven million, seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 937 968 1056 1408 1452 1874 1936 2112 2811 2816 2904 3748 3872 4224 5622 5808 7496 7744 8448 10307 11244 11616 14992 15488 20614 22488 23232 29984 30921 30976 41228 44976 46464 59968 61842 82456 89952 92928 113377 119936 123684 164912 179904 226754 239872 247368 329824 340131 359808 453508 494736 659648 680262 719616 907016 989472 1319296 1360524 1814032 1978944 2638592 2721048 3628064 3957888 5442096 7256128 7915776 10884192 14512256 21768384 29024512 43536768 87073536