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1240105152 = 263111331247
BaseRepresentation
bin100100111101010…
…1000000011000000
310012102110212110110
41021322220003000
510014431331102
6323015431320
742505501626
oct11172500300
93172425413
101240105152
115870093a0
122a7385540
13169bc6b40
14ba9ad516
1573d0d86c
hex49ea80c0

1240105152 has 336 divisors, whose sum is σ = 4067836416. Its totient is φ = 328550400.

The previous prime is 1240105109. The next prime is 1240105157. The reversal of 1240105152 is 2515010421.

It is not an unprimeable number, because it can be changed into a prime (1240105157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26385193 + ... + 26385239.

It is an arithmetic number, because the mean of its divisors is an integer number (12106656).

Almost surely, 21240105152 is an apocalyptic number.

1240105152 is a gapful number since it is divisible by the number (12) 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 1240105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033918208).

1240105152 is an abundant number, since it is smaller than the sum of its proper divisors (2827731264).

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

1240105152 is a wasteful number, since it uses less digits than its factorization.

1240105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1240105152 is about 35215.1267497364. The cubic root of 1240105152 is about 1074.3674380585.

Adding to 1240105152 its reverse (2515010421), we get a palindrome (3755115573).

The spelling of 1240105152 in words is "one billion, two hundred forty million, one hundred five thousand, one hundred fifty-two".