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87355240 = 235736367
BaseRepresentation
bin1010011010011…
…10111101101000
320002101002212021
411031032331220
5134330331430
612400154224
72110336000
oct515167550
9202332767
1087355240
1145345315
1225308974
13151371bb
14b85d000
157a0807a
hex534ef68

87355240 has 64 divisors (see below), whose sum is σ = 229248000. Its totient is φ = 29945664.

The previous prime is 87355237. The next prime is 87355319. The reversal of 87355240 is 4255378.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87355196 and 87355205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10537 + ... + 16903.

It is an arithmetic number, because the mean of its divisors is an integer number (3582000).

Almost surely, 287355240 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 87355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624000).

87355240 is an abundant number, since it is smaller than the sum of its proper divisors (141892760).

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

87355240 is a wasteful number, since it uses less digits than its factorization.

87355240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6381 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 87355240 is about 9346.4025164766. The cubic root of 87355240 is about 443.7070410043.

The spelling of 87355240 in words is "eighty-seven million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6367 6860 12734 13720 25468 31835 44569 50936 63670 89138 127340 178276 222845 254680 311983 356552 445690 623966 891380 1247932 1559915 1782760 2183881 2495864 3119830 4367762 6239660 8735524 10919405 12479320 17471048 21838810 43677620 87355240