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87403960 = 2357541577
BaseRepresentation
bin1010011010110…
…10110110111000
320002110120200201
411031122312320
5134333411320
612401211544
72110631020
oct515326670
9202416621
1087403960
1145378986
1225330bb4
1315153427
14b872a80
157a1770a
hex535adb8

87403960 has 64 divisors (see below), whose sum is σ = 225558720. Its totient is φ = 29859840.

The previous prime is 87403949. The next prime is 87403961. The reversal of 87403960 is 6930478.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87403961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151192 + ... + 151768.

It is an arithmetic number, because the mean of its divisors is an integer number (3524355).

Almost surely, 287403960 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 87403960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112779360).

87403960 is an abundant number, since it is smaller than the sum of its proper divisors (138154760).

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

87403960 is a wasteful number, since it uses less digits than its factorization.

87403960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 87403960 is about 9349.0085035794. The cubic root of 87403960 is about 443.7895141696.

The spelling of 87403960 in words is "eighty-seven million, four hundred three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 541 577 1082 1154 2164 2308 2705 2885 3787 4039 4328 4616 5410 5770 7574 8078 10820 11540 15148 16156 18935 20195 21640 23080 30296 32312 37870 40390 75740 80780 151480 161560 312157 624314 1248628 1560785 2185099 2497256 3121570 4370198 6243140 8740396 10925495 12486280 17480792 21850990 43701980 87403960