Search a number
-
+
122883480 = 23345172397
BaseRepresentation
bin1110101001100…
…00110110011000
322120020010110000
413110300312120
5222424232410
620105453000
73021330606
oct724606630
9276203400
10122883480
11634011a5
12351a1160
131c5c6525
141246a876
15abc4dc0
hex7530d98

122883480 has 320 divisors, whose sum is σ = 461039040. Its totient is φ = 29196288.

The previous prime is 122883407. The next prime is 122883491. The reversal of 122883480 is 84388221.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 1266792 + ... + 1266888.

It is an arithmetic number, because the mean of its divisors is an integer number (1440747).

Almost surely, 2122883480 is an apocalyptic number.

122883480 is a gapful number since it is divisible by the number (10) 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 122883480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230519520).

122883480 is an abundant number, since it is smaller than the sum of its proper divisors (338155560).

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

122883480 is a wasteful number, since it uses less digits than its factorization.

122883480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 122883480 is about 11085.2821344339. The cubic root of 122883480 is about 497.1618941241.

The spelling of 122883480 in words is "one hundred twenty-two million, eight hundred eighty-three thousand, four hundred eighty".