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33001420 = 22517293347
BaseRepresentation
bin111110111100…
…0111111001100
32022002122102211
41331320333030
531422021140
63135200204
7550336024
oct175707714
968078384
1033001420
11176a0501
12b076064
136ab618a
144550a84
152d6d2ea
hex1f78fcc

33001420 has 48 divisors (see below), whose sum is σ = 75932640. Its totient is φ = 11992064.

The previous prime is 33001417. The next prime is 33001459. The reversal of 33001420 is 2410033.

It is a self number, because there is not a number n which added to its sum of digits gives 33001420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8187 + ... + 11533.

It is an arithmetic number, because the mean of its divisors is an integer number (1581930).

Almost surely, 233001420 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 33001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37966320).

33001420 is an abundant number, since it is smaller than the sum of its proper divisors (42931220).

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

33001420 is a wasteful number, since it uses less digits than its factorization.

33001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3402 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 33001420 is about 5744.6862403442. The cubic root of 33001420 is about 320.7580336394.

Adding to 33001420 its reverse (2410033), we get a palindrome (35411453).

The spelling of 33001420 in words is "thirty-three million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 3347 4930 6694 9860 13388 16735 33470 56899 66940 97063 113798 194126 227596 284495 388252 485315 568990 970630 1137980 1650071 1941260 3300142 6600284 8250355 16500710 33001420