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87042480 = 24357197263
BaseRepresentation
bin1010011000000…
…10100110110000
320001210012211120
411030002212300
5134240324410
612345342240
72104564110
oct514024660
9201705746
1087042480
1145151338
1225197980
1315057a35
14b7bb040
157995570
hex53029b0

87042480 has 160 divisors (see below), whose sum is σ = 311122944. Its totient is φ = 19719168.

The previous prime is 87042479. The next prime is 87042497. The reversal of 87042480 is 8424078.

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, 330829 + ... + 331091.

Almost surely, 287042480 is an apocalyptic number.

87042480 is a gapful number since it is divisible by the number (80) 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 87042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155561472).

87042480 is an abundant number, since it is smaller than the sum of its proper divisors (224080464).

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

87042480 is a wasteful number, since it uses less digits than its factorization.

87042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 87042480 is about 9329.6559422092. The cubic root of 87042480 is about 443.1768695544.

The spelling of 87042480 in words is "eighty-seven million, forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 197 210 240 263 280 336 394 420 526 560 591 788 789 840 985 1052 1182 1315 1379 1576 1578 1680 1841 1970 2104 2364 2630 2758 2955 3152 3156 3682 3940 3945 4137 4208 4728 5260 5516 5523 5910 6312 6895 7364 7880 7890 8274 9205 9456 10520 11032 11046 11820 12624 13790 14728 15760 15780 16548 18410 20685 21040 22064 22092 23640 27580 27615 29456 31560 33096 36820 41370 44184 47280 51811 55160 55230 63120 66192 73640 82740 88368 103622 110320 110460 147280 155433 165480 207244 220920 259055 310866 330960 362677 414488 441840 518110 621732 725354 777165 828976 1036220 1088031 1243464 1450708 1554330 1813385 2072440 2176062 2486928 2901416 3108660 3626770 4144880 4352124 5440155 5802832 6217320 7253540 8704248 10880310 12434640 14507080 17408496 21760620 29014160 43521240 87042480