Search a number
-
+
33790420 = 2251689521
BaseRepresentation
bin1000000011100…
…1100111010100
32100120201202001
42000321213110
532122243140
63204125044
7560133226
oct200714724
970521661
1033790420
111808a274
12b396784
137001341
1446b8416
152e76e9a
hex20399d4

33790420 has 12 divisors (see below), whose sum is σ = 70959924. Its totient is φ = 13516160.

The previous prime is 33790411. The next prime is 33790429. The reversal of 33790420 is 2409733.

It is an interprime number because it is at equal distance from previous prime (33790411) and next prime (33790429).

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 27164944 = 2574^2 + 5212^2 .

It is a super-2 number, since 2×337904202 = 2283584967552800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33790429) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 844741 + ... + 844780.

It is an arithmetic number, because the mean of its divisors is an integer number (5913327).

Almost surely, 233790420 is an apocalyptic number.

It is an amenable number.

33790420 is an abundant number, since it is smaller than the sum of its proper divisors (37169504).

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

33790420 is a wasteful number, since it uses less digits than its factorization.

33790420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689530 (or 1689528 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 33790420 is about 5812.9527780638. The cubic root of 33790420 is about 323.2941627777.

The spelling of 33790420 in words is "thirty-three million, seven hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1689521 3379042 6758084 8447605 16895210 33790420