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87075054 = 23311178623
BaseRepresentation
bin1010011000010…
…10100011101110
320001211212112000
411030022203232
5134242400204
612350153130
72105061063
oct514124356
9201755460
1087075054
1145173860
12251b27a6
1315069801
14b7c8c6a
1579a0039
hex530a8ee

87075054 has 64 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 24831360.

The previous prime is 87075049. The next prime is 87075059. The reversal of 87075054 is 45057078.

It is an interprime number because it is at equal distance from previous prime (87075049) and next prime (87075059).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87075059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5787 + ... + 14409.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 287075054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87075054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

87075054 is an abundant number, since it is smaller than the sum of its proper divisors (136459026).

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

87075054 is a wasteful number, since it uses less digits than its factorization.

87075054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 87075054 is about 9331.4015024540. The cubic root of 87075054 is about 443.2321461769.

The spelling of 87075054 in words is "eighty-seven million, seventy-five thousand, fifty-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 8623 10098 17246 25869 51738 77607 94853 146591 155214 189706 232821 284559 293182 439773 465642 569118 853677 879546 1319319 1612501 1707354 2561031 2638638 3225002 3957957 4837503 5122062 7915914 9675006 14512509 29025018 43537527 87075054