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40087760 = 245796343
BaseRepresentation
bin1001100011101…
…1000011010000
32210102200001212
42120323003100
540230302020
63551115252
7664511636
oct230730320
983380055
1040087760
11206a0589
1211512b28
1383c778b
145477356
1537bccc5
hex263b0d0

40087760 has 40 divisors (see below), whose sum is σ = 94398720. Its totient is φ = 15829632.

The previous prime is 40087759. The next prime is 40087783. The reversal of 40087760 is 6778004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3149 + ... + 9491.

It is an arithmetic number, because the mean of its divisors is an integer number (2359968).

Almost surely, 240087760 is an apocalyptic number.

40087760 is a gapful number since it is divisible by the number (40) 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 40087760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47199360).

40087760 is an abundant number, since it is smaller than the sum of its proper divisors (54310960).

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

40087760 is a wasteful number, since it uses less digits than its factorization.

40087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 40087760 is about 6331.4895561787. The cubic root of 40087760 is about 342.2451191242.

The spelling of 40087760 in words is "forty million, eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 6343 12686 25372 31715 50744 63430 101488 126860 253720 501097 507440 1002194 2004388 2505485 4008776 5010970 8017552 10021940 20043880 40087760