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87221160 = 233251318637
BaseRepresentation
bin1010011001011…
…10001110101000
320002010021221100
411030232032220
5134312034120
612353241400
72106240045
oct514561650
9202107840
1087221160
1145263604
1225263260
13150bb170
14b8261cc
1579cd490
hex532e3a8

87221160 has 96 divisors (see below), whose sum is σ = 305290440. Its totient is φ = 21468672.

The previous prime is 87221117. The next prime is 87221177. The reversal of 87221160 is 6112278.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 63776196 = 4842^2 + 7986^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4639 + ... + 13998.

Almost surely, 287221160 is an apocalyptic number.

It is an amenable number.

87221160 is an abundant number, since it is smaller than the sum of its proper divisors (218069280).

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

87221160 is a wasteful number, since it uses less digits than its factorization.

87221160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18667 (or 18660 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 87221160 is about 9339.2269487362. The cubic root of 87221160 is about 443.4799120845.

The spelling of 87221160 in words is "eighty-seven million, two hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 18637 37274 55911 74548 93185 111822 149096 167733 186370 223644 242281 279555 335466 372740 447288 484562 559110 670932 726843 745480 838665 969124 1118220 1211405 1341864 1453686 1677330 1938248 2180529 2236440 2422810 2907372 3354660 3634215 4361058 4845620 5814744 6709320 7268430 8722116 9691240 10902645 14536860 17444232 21805290 29073720 43610580 87221160