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1123895136 = 2537131271013
BaseRepresentation
bin100001011111101…
…0100011101100000
32220022210210021210
41002333110131200
54300204121021
6303304550120
736564644130
oct10277243540
92808723253
101123895136
11527456061
12274482340
1314bac9010
14a939cac0
1568a05e76
hex42fd4760

1123895136 has 192 divisors, whose sum is σ = 3663249408. Its totient is φ = 293787648.

The previous prime is 1123895119. The next prime is 1123895141. The reversal of 1123895136 is 6315983211.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 = 1123895094 and 1123895103.

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, 1108966 + ... + 1109978.

It is an arithmetic number, because the mean of its divisors is an integer number (19079424).

Almost surely, 21123895136 is an apocalyptic number.

1123895136 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 1123895136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831624704).

1123895136 is an abundant number, since it is smaller than the sum of its proper divisors (2539354272).

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

1123895136 is a wasteful number, since it uses less digits than its factorization.

1123895136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1165 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 1123895136 is about 33524.5452765582. The cubic root of 1123895136 is about 1039.7013244886.

The spelling of 1123895136 in words is "one billion, one hundred twenty-three million, eight hundred ninety-five thousand, one hundred thirty-six".