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87011328 = 21237397
BaseRepresentation
bin1010010111110…
…11000000000000
320001201122002210
411023323000000
5134233330303
612344542120
72104404225
oct513730000
9201648083
1087011328
114512a998
1225181940
13150467c1
14b7ad94c
15798b203
hex52fb000

87011328 has 104 divisors (see below), whose sum is σ = 237604528. Its totient is φ = 28311552.

The previous prime is 87011297. The next prime is 87011329. The reversal of 87011328 is 82311078.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 87011295 and 87011304.

It is not an unprimeable number, because it can be changed into a prime (87011329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 896976 + ... + 897072.

Almost surely, 287011328 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 87011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118802264).

87011328 is an abundant number, since it is smaller than the sum of its proper divisors (150593200).

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

87011328 is an equidigital number, since it uses as much as digits as its factorization.

87011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 87011328 is about 9327.9862778630. The cubic root of 87011328 is about 443.1239931000.

The spelling of 87011328 in words is "eighty-seven million, eleven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 97 128 146 192 194 219 256 291 292 384 388 438 512 582 584 768 776 876 1024 1164 1168 1536 1552 1752 2048 2328 2336 3072 3104 3504 4096 4656 4672 6144 6208 7008 7081 9312 9344 12288 12416 14016 14162 18624 18688 21243 24832 28032 28324 37248 37376 42486 49664 56064 56648 74496 74752 84972 99328 112128 113296 148992 149504 169944 198656 224256 226592 297984 299008 339888 397312 448512 453184 595968 679776 897024 906368 1191936 1359552 1812736 2719104 3625472 5438208 7250944 10876416 14501888 21752832 29003776 43505664 87011328