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1139472 = 243241193
BaseRepresentation
bin100010110001100010000
32010220001200
410112030100
5242430342
640231200
712454035
oct4261420
92126050
101139472
11709114
1246b500
1330b859
1421938c
1517794c
hex116310

1139472 has 60 divisors (see below), whose sum is σ = 3283644. Its totient is φ = 368640.

The previous prime is 1139471. The next prime is 1139473. The reversal of 1139472 is 2749311.

It is an interprime number because it is at equal distance from previous prime (1139471) and next prime (1139473).

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 992016 = 384^2 + 996^2 .

It is not an unprimeable number, because it can be changed into a prime (1139471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5808 + ... + 6000.

21139472 is an apocalyptic number.

1139472 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 1139472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641822).

1139472 is an abundant number, since it is smaller than the sum of its proper divisors (2144172).

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

1139472 is a wasteful number, since it uses less digits than its factorization.

1139472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1139472 is about 1067.4605379123. The cubic root of 1139472 is about 104.4482623556.

The spelling of 1139472 in words is "one million, one hundred thirty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 193 246 328 369 386 492 579 656 738 772 984 1158 1476 1544 1737 1968 2316 2952 3088 3474 4632 5904 6948 7913 9264 13896 15826 23739 27792 31652 47478 63304 71217 94956 126608 142434 189912 284868 379824 569736 1139472