Search a number
-
+
122028816 = 24372132307
BaseRepresentation
bin1110100011000…
…00001100010000
322111121201001210
413101200030100
5222214410231
620035300120
73011141100
oct721401420
9274551053
10122028816
1162978068
1234a4a640
131c387500
14122c7200
15aaa6a46
hex7460310

122028816 has 180 divisors, whose sum is σ = 398380752. Its totient is φ = 32078592.

The previous prime is 122028799. The next prime is 122028821. The reversal of 122028816 is 618820221.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 397335 + ... + 397641.

Almost surely, 2122028816 is an apocalyptic number.

122028816 is a gapful number since it is divisible by the number (16) 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 122028816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199190376).

122028816 is an abundant number, since it is smaller than the sum of its proper divisors (276351936).

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

122028816 is a wasteful number, since it uses less digits than its factorization.

122028816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 122028816 is about 11046.6653791993. The cubic root of 122028816 is about 496.0066119479.

The spelling of 122028816 in words is "one hundred twenty-two million, twenty-eight thousand, eight hundred sixteen".