Search a number
-
+
24132120 = 2335201101
BaseRepresentation
bin101110000001…
…1101000011000
31200102001001020
41130003220120
522134211440
62221122440
7412056015
oct134035030
950361036
1024132120
1112692901
1280b9420
134ccc17c
1432c270c
1521ba3d0
hex1703a18

24132120 has 32 divisors (see below), whose sum is σ = 72396720. Its totient is φ = 6435200.

The previous prime is 24132113. The next prime is 24132137. The reversal of 24132120 is 2123142.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 24132120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100431 + ... + 100670.

Almost surely, 224132120 is an apocalyptic number.

24132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24132120 is an abundant number, since it is smaller than the sum of its proper divisors (48264600).

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

24132120 is a wasteful number, since it uses less digits than its factorization.

24132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201115 (or 201111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 24132120 is about 4912.4454195441. The cubic root of 24132120 is about 288.9782513376.

Adding to 24132120 its reverse (2123142), we get a palindrome (26255262).

The spelling of 24132120 in words is "twenty-four million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 201101 402202 603303 804404 1005505 1206606 1608808 2011010 2413212 3016515 4022020 4826424 6033030 8044040 12066060 24132120