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33420540 = 2235653853
BaseRepresentation
bin111111101111…
…1010011111100
32022212221100210
41333133103330
532023424130
63152152420
7554032656
oct177372374
968787323
1033420540
111795738a
12b238710
136c01b8a
14461d6d6
152e025b0
hex1fdf4fc

33420540 has 48 divisors (see below), whose sum is σ = 93830688. Its totient is φ = 8888064.

The previous prime is 33420523. The next prime is 33420547. The reversal of 33420540 is 4502433.

It is a happy number.

It is a super-2 number, since 2×334205402 = 2233864987783200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33420547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38754 + ... + 39606.

It is an arithmetic number, because the mean of its divisors is an integer number (1954806).

Almost surely, 233420540 is an apocalyptic number.

33420540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33420540 is an abundant number, since it is smaller than the sum of its proper divisors (60410148).

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

33420540 is a wasteful number, since it uses less digits than its factorization.

33420540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 33420540 is about 5781.0500776243. The cubic root of 33420540 is about 322.1102075085.

Adding to 33420540 its reverse (4502433), we get a palindrome (37922973).

The spelling of 33420540 in words is "thirty-three million, four hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 653 853 1306 1706 1959 2559 2612 3265 3412 3918 4265 5118 6530 7836 8530 9795 10236 12795 13060 17060 19590 25590 39180 51180 557009 1114018 1671027 2228036 2785045 3342054 5570090 6684108 8355135 11140180 16710270 33420540