Search a number
-
+
33390140 = 2257793019
BaseRepresentation
bin111111101011…
…1111000111100
32022211101122212
41333113320330
532021441030
63151355552
7553545230
oct177277074
968741585
1033390140
1117936563
12b222bb8
136bc10a4
1446125c0
152de8595
hex1fd7e3c

33390140 has 48 divisors (see below), whose sum is σ = 81177600. Its totient is φ = 11299392.

The previous prime is 33390139. The next prime is 33390143. The reversal of 33390140 is 4109333.

It is a super-2 number, since 2×333901402 = 2229802898439200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33390143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9551 + ... + 12569.

It is an arithmetic number, because the mean of its divisors is an integer number (1691200).

Almost surely, 233390140 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 33390140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40588800).

33390140 is an abundant number, since it is smaller than the sum of its proper divisors (47787460).

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

33390140 is a wasteful number, since it uses less digits than its factorization.

33390140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 33390140 is about 5778.4201993278. The cubic root of 33390140 is about 322.0125118912.

Adding to 33390140 its reverse (4109333), we get a palindrome (37499473).

The spelling of 33390140 in words is "thirty-three million, three hundred ninety thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 3019 5530 6038 11060 12076 15095 21133 30190 42266 60380 84532 105665 211330 238501 422660 477002 954004 1192505 1669507 2385010 3339014 4770020 6678028 8347535 16695070 33390140