Search a number
-
+
1115040 = 253523101
BaseRepresentation
bin100010000001110100000
32002122112210
410100032200
5241140130
635522120
712322563
oct4201640
92078483
101115040
116a1823
12459340
133006b4
142104da
151705b0
hex1103a0

1115040 has 96 divisors (see below), whose sum is σ = 3701376. Its totient is φ = 281600.

The previous prime is 1115029. The next prime is 1115057. The reversal of 1115040 is 405111.

It is a happy number.

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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10990 + ... + 11090.

It is an arithmetic number, because the mean of its divisors is an integer number (38556).

21115040 is an apocalyptic number.

1115040 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 1115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688).

1115040 is an abundant number, since it is smaller than the sum of its proper divisors (2586336).

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

1115040 is a wasteful number, since it uses less digits than its factorization.

1115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1115040 is about 1055.9545444762. The cubic root of 1115040 is about 103.6963529685.

It can be divided in two parts, 111 and 5040, that added together give a triangular number (5151 = T101).

The spelling of 1115040 in words is "one million, one hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 101 115 120 138 160 184 202 230 240 276 303 345 368 404 460 480 505 552 606 690 736 808 920 1010 1104 1212 1380 1515 1616 1840 2020 2208 2323 2424 2760 3030 3232 3680 4040 4646 4848 5520 6060 6969 8080 9292 9696 11040 11615 12120 13938 16160 18584 23230 24240 27876 34845 37168 46460 48480 55752 69690 74336 92920 111504 139380 185840 223008 278760 371680 557520 1115040