Search a number
-
+
33020120 = 2357217991
BaseRepresentation
bin111110111110…
…1100011011000
32022010121002102
41331331203120
531423120440
63135422532
7550444400
oct175754330
968117072
1033020120
1117703561
12b084a48
136ac1843
144557800
152d73b15
hex1f7d8d8

33020120 has 96 divisors (see below), whose sum is σ = 91601280. Its totient is φ = 10644480.

The previous prime is 33020107. The next prime is 33020123. The reversal of 33020120 is 2102033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33020123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32825 + ... + 33815.

It is an arithmetic number, because the mean of its divisors is an integer number (954180).

Almost surely, 233020120 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 33020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

33020120 is an abundant number, since it is smaller than the sum of its proper divisors (58581160).

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

33020120 is a wasteful number, since it uses less digits than its factorization.

33020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 33020120 is about 5746.3136009097. The cubic root of 33020120 is about 320.8186072212.

Adding to 33020120 its reverse (2102033), we get a palindrome (35122153).

The spelling of 33020120 in words is "thirty-three million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 476 490 595 680 833 952 980 991 1190 1666 1960 1982 2380 3332 3964 4165 4760 4955 6664 6937 7928 8330 9910 13874 16660 16847 19820 27748 33320 33694 34685 39640 48559 55496 67388 69370 84235 97118 117929 134776 138740 168470 194236 235858 242795 277480 336940 388472 471716 485590 589645 673880 825503 943432 971180 1179290 1651006 1942360 2358580 3302012 4127515 4717160 6604024 8255030 16510060 33020120