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1113752640 = 2635711131961
BaseRepresentation
bin100001001100010…
…1000010001000000
32212121201111101210
41002120220101000
54240110041030
6302303330120
736412512150
oct10230502100
92777644353
101113752640
11521758930
12270bb0940
13149987640
14a7cbc760
1567ba0bb0
hex42628440

1113752640 has 896 divisors, whose sum is σ = 5079674880. Its totient is φ = 199065600.

The previous prime is 1113752639. The next prime is 1113752657. The reversal of 1113752640 is 462573111.

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 = 1113752598 and 1113752607.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18258210 + ... + 18258270.

It is an arithmetic number, because the mean of its divisors is an integer number (5669280).

Almost surely, 21113752640 is an apocalyptic number.

1113752640 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 1113752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2539837440).

1113752640 is an abundant number, since it is smaller than the sum of its proper divisors (3965922240).

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

1113752640 is a wasteful number, since it uses less digits than its factorization.

1113752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1113752640 is about 33372.9327449656. The cubic root of 1113752640 is about 1036.5643035142.

The spelling of 1113752640 in words is "one billion, one hundred thirteen million, seven hundred fifty-two thousand, six hundred forty".