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1139688 = 2332111439
BaseRepresentation
bin100010110001111101000
32010220100200
410112033220
5242432223
640232200
712454464
oct4261750
92126320
101139688
117092a0
1246b660
1330b994
142194a4
15177a43
hex1163e8

1139688 has 48 divisors (see below), whose sum is σ = 3369600. Its totient is φ = 345120.

The previous prime is 1139687. The next prime is 1139713. The reversal of 1139688 is 8869311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1139681) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73 + ... + 1511.

It is an arithmetic number, because the mean of its divisors is an integer number (70200).

21139688 is an apocalyptic number.

1139688 is a gapful number since it is divisible by the number (18) 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 1139688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684800).

1139688 is an abundant number, since it is smaller than the sum of its proper divisors (2229912).

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

1139688 is a wasteful number, since it uses less digits than its factorization.

1139688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1455 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1139688 is about 1067.5617078183. The cubic root of 1139688 is about 104.4548617277.

It can be divided in two parts, 113 and 9688, that added together give a square (9801 = 992).

The spelling of 1139688 in words is "one million, one hundred thirty-nine thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1439 2878 4317 5756 8634 11512 12951 15829 17268 25902 31658 34536 47487 51804 63316 94974 103608 126632 142461 189948 284922 379896 569844 1139688