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85361100 = 223521125867
BaseRepresentation
bin1010001011010…
…00000111001100
312221121210102020
411011220013030
5133323023400
612245330140
72054362116
oct505500714
9187553366
1085361100
1144203070
1224706950
13148b9636
14b4a03b6
1577622a0
hex51681cc

85361100 has 72 divisors (see below), whose sum is σ = 269441088. Its totient is φ = 20692800.

The previous prime is 85361093. The next prime is 85361113. The reversal of 85361100 is 116358.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9634 + ... + 16233.

Almost surely, 285361100 is an apocalyptic number.

It is an amenable number.

85361100 is an abundant number, since it is smaller than the sum of its proper divisors (184079988).

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

85361100 is a wasteful number, since it uses less digits than its factorization.

85361100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25895 (or 25888 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 85361100 is about 9239.1070997148. The cubic root of 85361100 is about 440.3047131707.

Adding to 85361100 its reverse (116358), we get a palindrome (85477458).

The spelling of 85361100 in words is "eighty-five million, three hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 25867 51734 77601 103468 129335 155202 258670 284537 310404 388005 517340 569074 646675 776010 853611 1138148 1293350 1422685 1552020 1707222 1940025 2586700 2845370 3414444 3880050 4268055 5690740 7113425 7760100 8536110 14226850 17072220 21340275 28453700 42680550 85361100