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1134240 = 253517139
BaseRepresentation
bin100010100111010100000
32010121212220
410110322200
5242243430
640151040
712432552
oct4247240
92117786
101134240
11705198
12468480
13309363
142174d2
15176110
hex114ea0

1134240 has 96 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 282624.

The previous prime is 1134239. The next prime is 1134241. The reversal of 1134240 is 424311.

It is an interprime number because it is at equal distance from previous prime (1134239) and next prime (1134241).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1134241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8091 + ... + 8229.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

21134240 is an apocalyptic number.

1134240 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 1134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1134240 is an abundant number, since it is smaller than the sum of its proper divisors (2676000).

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

1134240 is a wasteful number, since it uses less digits than its factorization.

1134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1134240 is about 1065.0070422302. The cubic root of 1134240 is about 104.2881554978.

Subtracting from 1134240 its sum of digits (15), we obtain a square (1134225 = 10652).

Adding to 1134240 its reverse (424311), we get a palindrome (1558551).

The spelling of 1134240 in words is "one million, one hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 139 160 170 204 240 255 272 278 340 408 417 480 510 544 556 680 695 816 834 1020 1112 1360 1390 1632 1668 2040 2085 2224 2363 2720 2780 3336 4080 4170 4448 4726 5560 6672 7089 8160 8340 9452 11120 11815 13344 14178 16680 18904 22240 23630 28356 33360 35445 37808 47260 56712 66720 70890 75616 94520 113424 141780 189040 226848 283560 378080 567120 1134240