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87054740 = 225131149223
BaseRepresentation
bin1010011000001…
…01100110010100
320001210211122122
411030011212110
5134241222430
612345515112
72104644623
oct514054624
9201724578
1087054740
114515a573
12251a2a98
13150604a6
14b7c16ba
157998ee5
hex5305994

87054740 has 48 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 34170240.

The previous prime is 87054731. The next prime is 87054749. The reversal of 87054740 is 4745078.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87054731) and next prime (87054749).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87054740.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87054749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 390269 + ... + 390491.

It is an arithmetic number, because the mean of its divisors is an integer number (3880800).

Almost surely, 287054740 is an apocalyptic number.

It is an amenable number.

87054740 is an abundant number, since it is smaller than the sum of its proper divisors (99223660).

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

87054740 is a wasteful number, since it uses less digits than its factorization.

87054740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 35.

The square root of 87054740 is about 9330.3129636685. The cubic root of 87054740 is about 443.1976758448.

The spelling of 87054740 in words is "eighty-seven million, fifty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 131 149 223 262 298 446 524 596 655 745 892 1115 1310 1490 2230 2620 2980 4460 19519 29213 33227 39038 58426 66454 78076 97595 116852 132908 146065 166135 195190 292130 332270 390380 584260 664540 4352737 8705474 17410948 21763685 43527370 87054740