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1123239936 = 2113731341
BaseRepresentation
bin100001011110011…
…0100100000000000
32220021120111112010
41002330310200000
54300022134221
6303242532520
736556245000
oct10274644000
92807514463
101123239936
11527048875
12274207140
1314b929a20
14a926c000
1568926c76
hex42f34800

1123239936 has 384 divisors, whose sum is σ = 3852576000. Its totient is φ = 289013760.

The previous prime is 1123239893. The next prime is 1123239947. The reversal of 1123239936 is 6399323211.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1123239894 and 1123239903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27396076 + ... + 27396116.

It is an arithmetic number, because the mean of its divisors is an integer number (10032750).

Almost surely, 21123239936 is an apocalyptic number.

1123239936 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 1123239936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926288000).

1123239936 is an abundant number, since it is smaller than the sum of its proper divisors (2729336064).

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

1123239936 is an equidigital number, since it uses as much as digits as its factorization.

1123239936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its digits is 52488, while the sum is 39.

The square root of 1123239936 is about 33514.7719073247. The cubic root of 1123239936 is about 1039.4992461081.

The spelling of 1123239936 in words is "one billion, one hundred twenty-three million, two hundred thirty-nine thousand, nine hundred thirty-six".