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87198012 = 223311292531
BaseRepresentation
bin1010011001010…
…00100100111100
320002002010012000
411030220210330
5134310314022
612352542300
72106112416
oct514504474
9202063160
1087198012
1145248180
1225251990
13150b0775
14b81b9b6
1579c66ac
hex532893c

87198012 has 96 divisors (see below), whose sum is σ = 255225600. Its totient is φ = 25502400.

The previous prime is 87197969. The next prime is 87198029. The reversal of 87198012 is 21089178.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33187 + ... + 35717.

It is an arithmetic number, because the mean of its divisors is an integer number (2658600).

Almost surely, 287198012 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 87198012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127612800).

87198012 is an abundant number, since it is smaller than the sum of its proper divisors (168027588).

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

87198012 is a wasteful number, since it uses less digits than its factorization.

87198012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 87198012 is about 9337.9875776315. The cubic root of 87198012 is about 443.4406762642.

The spelling of 87198012 in words is "eighty-seven million, one hundred ninety-eight thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 132 174 198 261 297 319 348 396 522 594 638 783 957 1044 1188 1276 1566 1914 2531 2871 3132 3828 5062 5742 7593 8613 10124 11484 15186 17226 22779 27841 30372 34452 45558 55682 68337 73399 83523 91116 111364 136674 146798 167046 220197 250569 273348 293596 334092 440394 501138 660591 751707 807389 880788 1002276 1321182 1503414 1614778 1981773 2422167 2642364 3006828 3229556 3963546 4844334 7266501 7927092 9688668 14533002 21799503 29066004 43599006 87198012