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1139120 = 24529491
BaseRepresentation
bin100010110000110110000
32010212120122
410112012300
5242422440
640225412
712453023
oct4260660
92125518
101139120
11708924
1246b268
1330b648
142191ba
151777b5
hex1161b0

1139120 has 40 divisors (see below), whose sum is σ = 2745360. Its totient is φ = 439040.

The previous prime is 1139087. The next prime is 1139123. The reversal of 1139120 is 219311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1139123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2075 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (68634).

21139120 is an apocalyptic number.

1139120 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 1139120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372680).

1139120 is an abundant number, since it is smaller than the sum of its proper divisors (1606240).

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

1139120 is a wasteful number, since it uses less digits than its factorization.

1139120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 1139120 is about 1067.2956478877. The cubic root of 1139120 is about 104.4375060361.

It can be divided in two parts, 11391 and 20, that added together give a palindrome (11411).

The spelling of 1139120 in words is "one million, one hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 491 580 982 1160 1964 2320 2455 3928 4910 7856 9820 14239 19640 28478 39280 56956 71195 113912 142390 227824 284780 569560 1139120