Search a number
-
+
33540420 = 22354311297
BaseRepresentation
bin111111111110…
…0100101000100
32100010000210210
41333330211010
532041243140
63154515420
7555042324
oct177744504
970100723
1033540420
1117a29461
12b295b70
136c44604
144651284
152e27d80
hex1ffc944

33540420 has 48 divisors (see below), whose sum is σ = 94203648. Its totient is φ = 8916480.

The previous prime is 33540413. The next prime is 33540421. The reversal of 33540420 is 2404533.

It is a happy number.

It is a super-2 number, since 2×335404202 = 2249919547552800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33540421) 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, 25212 + ... + 26508.

It is an arithmetic number, because the mean of its divisors is an integer number (1962576).

Almost surely, 233540420 is an apocalyptic number.

33540420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33540420 is an abundant number, since it is smaller than the sum of its proper divisors (60663228).

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

33540420 is a wasteful number, since it uses less digits than its factorization.

33540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1738 counting only the distinct ones).

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

The square root of 33540420 is about 5791.4091549467. The cubic root of 33540420 is about 322.4948860435.

Adding to 33540420 its reverse (2404533), we get a palindrome (35944953).

It can be divided in two parts, 335 and 40420, that added together give a triangular number (40755 = T285).

The spelling of 33540420 in words is "thirty-three million, five hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 431 862 1293 1297 1724 2155 2586 2594 3891 4310 5172 5188 6465 6485 7782 8620 12930 12970 15564 19455 25860 25940 38910 77820 559007 1118014 1677021 2236028 2795035 3354042 5590070 6708084 8385105 11180140 16770210 33540420