Search a number
-
+
120325632 = 293719231
BaseRepresentation
bin1110010110000…
…00011000000000
322101102011201220
413023000120000
5221300410012
615534555040
72660515410
oct713003000
9271364656
10120325632
1161a14479
1234368a80
131bc0c1cb
1411da2640
15a86c08c
hex72c0600

120325632 has 240 divisors, whose sum is σ = 399117312. Its totient is φ = 31518720.

The previous prime is 120325631. The next prime is 120325633. The reversal of 120325632 is 236523021.

It is an interprime number because it is at equal distance from previous prime (120325631) and next prime (120325633).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120325631) 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, 3881457 + ... + 3881487.

Almost surely, 2120325632 is an apocalyptic number.

120325632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199558656).

120325632 is an abundant number, since it is smaller than the sum of its proper divisors (278791680).

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

120325632 is an equidigital number, since it uses as much as digits as its factorization.

120325632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 120325632 is about 10969.3040800226. The cubic root of 120325632 is about 493.6881661177.

Adding to 120325632 its reverse (236523021), we get a palindrome (356848653).

The spelling of 120325632 in words is "one hundred twenty million, three hundred twenty-five thousand, six hundred thirty-two".