Search a number
-
+
33132540 = 2235778887
BaseRepresentation
bin111111001100…
…0111111111100
32022100022022010
41332120333330
531440220130
63142051220
7551423220
oct176307774
968308263
1033132540
111777aa71
12b119b10
136b30a6c
144586780
152d970b0
hex1f98ffc

33132540 has 48 divisors (see below), whose sum is σ = 106025472. Its totient is φ = 7573056.

The previous prime is 33132511. The next prime is 33132553. The reversal of 33132540 is 4523133.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39024 + ... + 39863.

It is an arithmetic number, because the mean of its divisors is an integer number (2208864).

Almost surely, 233132540 is an apocalyptic number.

33132540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33132540 is an abundant number, since it is smaller than the sum of its proper divisors (72892932).

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

33132540 is a wasteful number, since it uses less digits than its factorization.

33132540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78906 (or 78904 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 33132540 is about 5756.0872126819. The cubic root of 33132540 is about 321.1822801838.

Adding to 33132540 its reverse (4523133), we get a palindrome (37655673).

The spelling of 33132540 in words is "thirty-three million, one hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 78887 157774 236661 315548 394435 473322 552209 788870 946644 1104418 1183305 1577740 1656627 2208836 2366610 2761045 3313254 4733220 5522090 6626508 8283135 11044180 16566270 33132540