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87002900 = 225219291579
BaseRepresentation
bin1010010111110…
…00111100010100
320001201012112122
411023320330110
5134233043100
612344435112
72104340525
oct513707424
9201635478
1087002900
1145124626
1225178a98
1315042a0a
14b7aa84c
157988985
hex52f8f14

87002900 has 72 divisors (see below), whose sum is σ = 205716000. Its totient is φ = 31812480.

The previous prime is 87002893. The next prime is 87002921. The reversal of 87002900 is 920078.

87002900 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

87002900 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 87002900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54311 + ... + 55889.

Almost surely, 287002900 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 87002900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102858000).

87002900 is an abundant number, since it is smaller than the sum of its proper divisors (118713100).

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

87002900 is a wasteful number, since it uses less digits than its factorization.

87002900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 87002900 is about 9327.5345081109. The cubic root of 87002900 is about 443.1096855009.

Adding to 87002900 its reverse (920078), we get a palindrome (87922978).

The spelling of 87002900 in words is "eighty-seven million, two thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1579 1900 2204 2755 2900 3158 5510 6316 7895 11020 13775 15790 27550 30001 31580 39475 45791 55100 60002 78950 91582 120004 150005 157900 183164 228955 300010 457910 600020 750025 870029 915820 1144775 1500050 1740058 2289550 3000100 3480116 4350145 4579100 8700290 17400580 21750725 43501450 87002900