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1233240240 = 24355639127
BaseRepresentation
bin100100110000001…
…1100000010110000
310011221120002120110
41021200130002300
510011202141430
6322212341320
742363240411
oct11140340260
93157502513
101233240240
1158314a711
122a5014840
1316866226b
14b9b03808
15734047b0
hex4981c0b0

1233240240 has 80 divisors (see below), whose sum is σ = 3830254848. Its totient is φ = 328243968.

The previous prime is 1233240221. The next prime is 1233240241. The reversal of 1233240240 is 420423321.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1233240241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130557 + ... + 139683.

Almost surely, 21233240240 is an apocalyptic number.

1233240240 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 1233240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915127424).

1233240240 is an abundant number, since it is smaller than the sum of its proper divisors (2597014608).

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

1233240240 is a wasteful number, since it uses less digits than its factorization.

1233240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9706 (or 9700 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1233240240 is about 35117.5204136055. The cubic root of 1233240240 is about 1072.3812921141.

Adding to 1233240240 its reverse (420423321), we get a palindrome (1653663561).

The spelling of 1233240240 in words is "one billion, two hundred thirty-three million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 9008 9127 11260 13512 16890 18254 22520 27024 27381 33780 36508 45040 45635 54762 67560 73016 91270 109524 135120 136905 146032 182540 219048 273810 365080 438096 547620 730160 1095240 2190480 5138501 10277002 15415503 20554004 25692505 30831006 41108008 51385010 61662012 77077515 82216016 102770020 123324024 154155030 205540040 246648048 308310060 411080080 616620120 1233240240