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1240006656 = 216371753
BaseRepresentation
bin100100111101001…
…0000000000000000
310012102021212100110
41021322100000000
510014420203111
6323013351320
742504611520
oct11172200000
93172255313
101240006656
11586a51399
122a7338540
13169b91065
14ba985680
1573cde5a6
hex49e90000

1240006656 has 272 divisors, whose sum is σ = 4076832384. Its totient is φ = 327155712.

The previous prime is 1240006627. The next prime is 1240006759. The reversal of 1240006656 is 6566000421.

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23396326 + ... + 23396378.

Almost surely, 21240006656 is an apocalyptic number.

1240006656 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 1240006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038416192).

1240006656 is an abundant number, since it is smaller than the sum of its proper divisors (2836825728).

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

1240006656 is an frugal number, since it uses more digits than its factorization.

1240006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1240006656 is about 35213.7282320404. The cubic root of 1240006656 is about 1074.3389932402.

The spelling of 1240006656 in words is "one billion, two hundred forty million, six thousand, six hundred fifty-six".