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87027912 = 23333141317
BaseRepresentation
bin1010010111111…
…11000011001000
320001202110212000
411023333003020
5134234343122
612345151000
72104503456
oct513770310
9201673760
1087027912
11451413a4
122518b460
131505120a
14b7b59d6
1579910ac
hex52ff0c8

87027912 has 128 divisors (see below), whose sum is σ = 256435200. Its totient is φ = 27302400.

The previous prime is 87027911. The next prime is 87027917. The reversal of 87027912 is 21972078.

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

It is not an unprimeable number, because it can be changed into a prime (87027911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274378 + ... + 274694.

It is an arithmetic number, because the mean of its divisors is an integer number (2003400).

Almost surely, 287027912 is an apocalyptic number.

87027912 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87027912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128217600).

87027912 is an abundant number, since it is smaller than the sum of its proper divisors (169407288).

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

87027912 is a wasteful number, since it uses less digits than its factorization.

87027912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 87027912 is about 9328.8751733529. The cubic root of 87027912 is about 443.1521438464.

It can be divided in two parts, 870 and 27912, that added together give a palindrome (28782).

The spelling of 87027912 in words is "eighty-seven million, twenty-seven thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 41 54 62 72 82 93 108 123 124 164 186 216 246 248 279 317 328 369 372 492 558 634 738 744 837 951 984 1107 1116 1268 1271 1476 1674 1902 2214 2232 2536 2542 2853 2952 3348 3804 3813 4428 5084 5706 6696 7608 7626 8559 8856 9827 10168 11412 11439 12997 15252 17118 19654 22824 22878 25994 29481 30504 34236 34317 38991 39308 45756 51988 58962 68472 68634 77982 78616 88443 91512 103976 116973 117924 137268 155964 176886 233946 235848 265329 274536 311928 350919 353772 402907 467892 530658 701838 707544 805814 935784 1061316 1208721 1403676 1611628 2122632 2417442 2807352 3223256 3626163 4834884 7252326 9669768 10878489 14504652 21756978 29009304 43513956 87027912