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1139008 = 2613372
BaseRepresentation
bin100010110000101000000
32010212102111
410112011000
5242422013
640225104
712452503
oct4260500
92125374
101139008
11708832
1246b194
1330b590
1421913a
1517773d
hex116140

1139008 has 42 divisors (see below), whose sum is σ = 2501646. Its totient is φ = 511488.

The previous prime is 1139003. The next prime is 1139011. The reversal of 1139008 is 8009311.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 719104 = 648^2 + 848^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1139008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30766 + ... + 30802.

It is an arithmetic number, because the mean of its divisors is an integer number (59563).

21139008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250823).

1139008 is an abundant number, since it is smaller than the sum of its proper divisors (1362638).

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

1139008 is an equidigital number, since it uses as much as digits as its factorization.

1139008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1139008 is about 1067.2431775373. The cubic root of 1139008 is about 104.4340831061.

The spelling of 1139008 in words is "one million, one hundred thirty-nine thousand, eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1369 1924 2368 2738 3848 5476 7696 10952 15392 17797 21904 30784 35594 43808 71188 87616 142376 284752 569504 1139008