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1123320240 = 2432571072083
BaseRepresentation
bin100001011110100…
…1000000110110000
32220021201120200100
41002331020012300
54300032221430
6303244352400
736560031060
oct10275100660
92807646610
101123320240
115270a3139
12274245700
1314b957443
14a928d3a0
1568940960
hex42f481b0

1123320240 has 240 divisors, whose sum is σ = 4353792768. Its totient is φ = 254237184.

The previous prime is 1123320239. The next prime is 1123320241. The reversal of 1123320240 is 420233211.

It is an interprime number because it is at equal distance from previous prime (1123320239) and next prime (1123320241).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1123320241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538239 + ... + 540321.

Almost surely, 21123320240 is an apocalyptic number.

1123320240 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 1123320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2176896384).

1123320240 is an abundant number, since it is smaller than the sum of its proper divisors (3230472528).

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

1123320240 is a wasteful number, since it uses less digits than its factorization.

1123320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1123320240 is about 33515.9699247985. The cubic root of 1123320240 is about 1039.5240178883.

Adding to 1123320240 its reverse (420233211), we get a palindrome (1543553451).

The spelling of 1123320240 in words is "one billion, one hundred twenty-three million, three hundred twenty thousand, two hundred forty".