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36428680 = 23571101127
BaseRepresentation
bin1000101011110…
…1101110001000
32112112202202101
42022331232020
533311204210
63340443144
7621432031
oct212755610
975482671
1036428680
1119621452
12102494b4
137716142
144ba3a88
1532e8a3a
hex22bdb88

36428680 has 64 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 14112000.

The previous prime is 36428677. The next prime is 36428701. The reversal of 36428680 is 8682463.

36428680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286777 + ... + 286903.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 236428680 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 36428680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

36428680 is an abundant number, since it is smaller than the sum of its proper divisors (48174200).

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

36428680 is a wasteful number, since it uses less digits than its factorization.

36428680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 36428680 is about 6035.6176154558. The cubic root of 36428680 is about 331.4981773713.

The spelling of 36428680 in words is "thirty-six million, four hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 101 127 142 202 254 284 355 404 505 508 568 635 710 808 1010 1016 1270 1420 2020 2540 2840 4040 5080 7171 9017 12827 14342 18034 25654 28684 35855 36068 45085 51308 57368 64135 71710 72136 90170 102616 128270 143420 180340 256540 286840 360680 513080 910717 1821434 3642868 4553585 7285736 9107170 18214340 36428680