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1240516992 = 2731113192941
BaseRepresentation
bin100100111110000…
…1100100110000000
310012110020210101210
41021330030212000
510020033020432
6323032330120
742512135421
oct11174144600
93173223353
101240516992
1158726a860
122a7543940
1316a00c430
14baa79648
1573d908cc
hex49f0c980

1240516992 has 512 divisors, whose sum is σ = 4318272000. Its totient is φ = 309657600.

The previous prime is 1240516967. The next prime is 1240516997. The reversal of 1240516992 is 2996150421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1240516992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240516997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30256492 + ... + 30256532.

It is an arithmetic number, because the mean of its divisors is an integer number (8434125).

Almost surely, 21240516992 is an apocalyptic number.

1240516992 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 1240516992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159136000).

1240516992 is an abundant number, since it is smaller than the sum of its proper divisors (3077755008).

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

1240516992 is a wasteful number, since it uses less digits than its factorization.

1240516992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1240516992 is about 35220.9737514453. The cubic root of 1240516992 is about 1074.4863576820.

The spelling of 1240516992 in words is "one billion, two hundred forty million, five hundred sixteen thousand, nine hundred ninety-two".