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42966120 = 2335358051
BaseRepresentation
bin1010001111100…
…1110001101000
32222211220102210
42203321301220
541444403440
64132525120
71031130441
oct243716150
988756383
1042966120
112228709a
12124807a0
138b94952
1459c62c8
153b8aa80
hex28f9c68

42966120 has 32 divisors (see below), whose sum is σ = 128898720. Its totient is φ = 11457600.

The previous prime is 42966113. The next prime is 42966137. The reversal of 42966120 is 2166924.

42966120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 7 ways as a sum of consecutive naturals, for example, 178906 + ... + 179145.

It is an arithmetic number, because the mean of its divisors is an integer number (4028085).

Almost surely, 242966120 is an apocalyptic number.

42966120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42966120 is an abundant number, since it is smaller than the sum of its proper divisors (85932600).

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

42966120 is a wasteful number, since it uses less digits than its factorization.

42966120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358065 (or 358061 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 42966120 is about 6554.8546894649. The cubic root of 42966120 is about 350.2477701367.

The spelling of 42966120 in words is "forty-two million, nine hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 358051 716102 1074153 1432204 1790255 2148306 2864408 3580510 4296612 5370765 7161020 8593224 10741530 14322040 21483060 42966120