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87273240 = 233517179239
BaseRepresentation
bin1010011001110…
…10111100011000
320002012221101020
411030322330120
5134320220430
612354322440
72106544635
oct514727430
9202187336
1087273240
114529974a
1225289420
1315108a92
14b83b18c
1579ddb10
hex533af18

87273240 has 128 divisors (see below), whose sum is σ = 279936000. Its totient is φ = 21690368.

The previous prime is 87273233. The next prime is 87273253. The reversal of 87273240 is 4237278.

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, 365041 + ... + 365279.

It is an arithmetic number, because the mean of its divisors is an integer number (2187000).

Almost surely, 287273240 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 87273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139968000).

87273240 is an abundant number, since it is smaller than the sum of its proper divisors (192662760).

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

87273240 is a wasteful number, since it uses less digits than its factorization.

87273240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 87273240 is about 9342.0147719858. The cubic root of 87273240 is about 443.5681622231.

The spelling of 87273240 in words is "eighty-seven million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 179 204 239 255 340 358 408 478 510 537 680 716 717 895 956 1020 1074 1195 1432 1434 1790 1912 2040 2148 2390 2685 2868 3043 3580 3585 4063 4296 4780 5370 5736 6086 7160 7170 8126 9129 9560 10740 12172 12189 14340 15215 16252 18258 20315 21480 24344 24378 28680 30430 32504 36516 40630 42781 45645 48756 60860 60945 73032 81260 85562 91290 97512 121720 121890 128343 162520 171124 182580 213905 243780 256686 342248 365160 427810 487560 513372 641715 727277 855620 1026744 1283430 1454554 1711240 2181831 2566860 2909108 3636385 4363662 5133720 5818216 7272770 8727324 10909155 14545540 17454648 21818310 29091080 43636620 87273240