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1123318656 = 273217411399
BaseRepresentation
bin100001011110100…
…0111101110000000
32220021201111111200
41002331013232000
54300032144111
6303244341200
736560023335
oct10275075600
92807644450
101123318656
115270a1a29
12274244800
1314b9567c5
14a928c98c
1568940256
hex42f47b80

1123318656 has 192 divisors, whose sum is σ = 3508596000. Its totient is φ = 343572480.

The previous prime is 1123318601. The next prime is 1123318657. The reversal of 1123318656 is 6568133211.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1123318656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123318657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802245 + ... + 803643.

Almost surely, 21123318656 is an apocalyptic number.

1123318656 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 1123318656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754298000).

1123318656 is an abundant number, since it is smaller than the sum of its proper divisors (2385277344).

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

1123318656 is a wasteful number, since it uses less digits than its factorization.

1123318656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1462 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1123318656 is about 33515.9462942642. The cubic root of 1123318656 is about 1039.5235292752.

The spelling of 1123318656 in words is "one billion, one hundred twenty-three million, three hundred eighteen thousand, six hundred fifty-six".