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124989696 = 2833132107
BaseRepresentation
bin1110111001100…
…11000100000000
322201012010122000
413130303010000
5223444132241
620222544000
73045252306
oct734630400
9281163560
10124989696
116460a677
1235a38000
131cb83100
1412858276
15ae8deb6
hex7733100

124989696 has 216 divisors, whose sum is σ = 403976160. Its totient is φ = 38098944.

The previous prime is 124989673. The next prime is 124989701. The reversal of 124989696 is 696989421.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168075 + ... + 1168181.

It is an arithmetic number, because the mean of its divisors is an integer number (1870260).

Almost surely, 2124989696 is an apocalyptic number.

124989696 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 124989696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201988080).

124989696 is an abundant number, since it is smaller than the sum of its proper divisors (278986464).

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

124989696 is a wasteful number, since it uses less digits than its factorization.

124989696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 125 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 124989696 is about 11179.8790691134. The cubic root of 124989696 is about 499.9862609558.

The spelling of 124989696 in words is "one hundred twenty-four million, nine hundred eighty-nine thousand, six hundred ninety-six".