Search a number
-
+
121748832 = 253617307
BaseRepresentation
bin1110100000110…
…11110101100000
322111002111000000
413100123311200
5222131430312
620025300000
73005563602
oct720336540
9274074000
10121748832
11627a6777
1234934600
131c2b9c3a
1412253172
15aa4dadc
hex741bd60

121748832 has 168 divisors, whose sum is σ = 381754296. Its totient is φ = 38071296.

The previous prime is 121748807. The next prime is 121748909. The reversal of 121748832 is 238847121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 396423 + ... + 396729.

It is an arithmetic number, because the mean of its divisors is an integer number (2272347).

Almost surely, 2121748832 is an apocalyptic number.

121748832 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 121748832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190877148).

121748832 is an abundant number, since it is smaller than the sum of its proper divisors (260005464).

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

121748832 is an equidigital number, since it uses as much as digits as its factorization.

121748832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 121748832 is about 11033.9853180979. The cubic root of 121748832 is about 495.6269741253.

The spelling of 121748832 in words is "one hundred twenty-one million, seven hundred forty-eight thousand, eight hundred thirty-two".