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1139292672 = 29371723271
BaseRepresentation
bin100001111101000…
…0011101000000000
32221101210001201220
41003322003220000
54313124331142
6305014555040
740142553660
oct10372035000
92841701656
101139292672
115351124a1
12279668a80
1315205a59b
14ab44a1a0
156a0482ec
hex43e83a00

1139292672 has 320 divisors, whose sum is σ = 3846610944. Its totient is φ = 291962880.

The previous prime is 1139292667. The next prime is 1139292673. The reversal of 1139292672 is 2762929311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1139292673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4203897 + ... + 4204167.

Almost surely, 21139292672 is an apocalyptic number.

1139292672 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 1139292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923305472).

1139292672 is an abundant number, since it is smaller than the sum of its proper divisors (2707318272).

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

1139292672 is a wasteful number, since it uses less digits than its factorization.

1139292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 1139292672 is about 33753.4097833093. The cubic root of 1139292672 is about 1044.4278277657.

The spelling of 1139292672 in words is "one billion, one hundred thirty-nine million, two hundred ninety-two thousand, six hundred seventy-two".