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1139334240 = 2535111941277
BaseRepresentation
bin100001111101000…
…1101110001100000
32221101212011202110
41003322031301200
54313132143430
6305015515320
740143116112
oct10372156140
92841764673
101139334240
11535140750
12279688b40
13152073495
14ab45b3b2
156a0557b0
hex43e8dc60

1139334240 has 384 divisors, whose sum is σ = 4236986880. Its totient is φ = 254361600.

The previous prime is 1139334239. The next prime is 1139334241. The reversal of 1139334240 is 424339311.

It is an interprime number because it is at equal distance from previous prime (1139334239) and next prime (1139334241).

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 = 1139334198 and 1139334207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139334241) 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, 4112982 + ... + 4113258.

It is an arithmetic number, because the mean of its divisors is an integer number (11033820).

Almost surely, 21139334240 is an apocalyptic number.

1139334240 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 1139334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118493440).

1139334240 is an abundant number, since it is smaller than the sum of its proper divisors (3097652640).

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

1139334240 is a wasteful number, since it uses less digits than its factorization.

1139334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1139334240 is about 33754.0255377044. The cubic root of 1139334240 is about 1044.4405298715.

The spelling of 1139334240 in words is "one billion, one hundred thirty-nine million, three hundred thirty-four thousand, two hundred forty".