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1139958540 = 2232572307421
BaseRepresentation
bin100001111110010…
…0110001100001100
32221110000220010200
41003330212030030
54313312133130
6305041133500
740151326200
oct10374461414
92843026120
101139958540
115355277a6
1227992a290
131522316a6
14ab580b00
156a12a760
hex43f2630c

1139958540 has 216 divisors, whose sum is σ = 4045113072. Its totient is φ = 259096320.

The previous prime is 1139958481. The next prime is 1139958541. The reversal of 1139958540 is 458599311.

1139958540 is a `hidden beast` number, since 1 + 13 + 9 + 95 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1139958541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707530 + ... + 2707950.

Almost surely, 21139958540 is an apocalyptic number.

1139958540 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 1139958540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022556536).

1139958540 is an abundant number, since it is smaller than the sum of its proper divisors (2905154532).

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

1139958540 is a wasteful number, since it uses less digits than its factorization.

1139958540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1139958540 is about 33763.2720570741. The cubic root of 1139958540 is about 1044.6312626521.

The spelling of 1139958540 in words is "one billion, one hundred thirty-nine million, nine hundred fifty-eight thousand, five hundred forty".