Search a number
-
+
33140280 = 2335277997
BaseRepresentation
bin111111001101…
…0111000111000
32022100200220210
41332122320320
531440442110
63142151120
7551454615
oct176327070
968320823
1033140280
1117785868
12b1224a0
136b34444
14458950c
152d99520
hex1f9ae38

33140280 has 64 divisors (see below), whose sum is σ = 99879840. Its totient is φ = 8796672.

The previous prime is 33140257. The next prime is 33140281. The reversal of 33140280 is 8204133.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33140281) 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, 32742 + ... + 33738.

Almost surely, 233140280 is an apocalyptic number.

33140280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

33140280 is the 3324-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33140280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939920).

33140280 is an abundant number, since it is smaller than the sum of its proper divisors (66739560).

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

33140280 is a wasteful number, since it uses less digits than its factorization.

33140280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 33140280 is about 5756.7595051383. The cubic root of 33140280 is about 321.2072884012.

The spelling of 33140280 in words is "thirty-three million, one hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 997 1108 1385 1662 1994 2216 2770 2991 3324 3988 4155 4985 5540 5982 6648 7976 8310 9970 11080 11964 14955 16620 19940 23928 29910 33240 39880 59820 119640 276169 552338 828507 1104676 1380845 1657014 2209352 2761690 3314028 4142535 5523380 6628056 8285070 11046760 16570140 33140280