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11232654240 = 253523401363
BaseRepresentation
bin10100111011000010…
…01011001110100000
31001222211012221212010
422131201023032200
5141001024413430
65054334432520
7545232662043
oct123541131640
931884187763
1011232654240
1148445a4425
122215962740
1310a01a5a92
14787b52c5a
1545b1e8cb0
hex29d84b3a0

11232654240 has 48 divisors (see below), whose sum is σ = 35382862368. Its totient is φ = 2995374336.

The previous prime is 11232654161. The next prime is 11232654241. The reversal of 11232654240 is 4245623211.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11232654198 and 11232654207.

It is not an unprimeable number, because it can be changed into a prime (11232654241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11700202 + ... + 11701161.

It is an arithmetic number, because the mean of its divisors is an integer number (737142966).

Almost surely, 211232654240 is an apocalyptic number.

11232654240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232654240 is an abundant number, since it is smaller than the sum of its proper divisors (24150208128).

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

11232654240 is a wasteful number, since it uses less digits than its factorization.

11232654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23401381 (or 23401373 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 11232654240 in words is "eleven billion, two hundred thirty-two million, six hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 23401363 46802726 70204089 93605452 117006815 140408178 187210904 234013630 280816356 351020445 374421808 468027260 561632712 702040890 748843616 936054520 1123265424 1404081780 1872109040 2246530848 2808163560 3744218080 5616327120 11232654240