Search a number
-
+
1114960 = 245711181
BaseRepresentation
bin100010000001101010000
32002122102211
410100031100
5241134320
635521504
712322420
oct4201520
92078384
101114960
116a1760
12459294
13300652
14210480
1517055a
hex110350

1114960 has 80 divisors (see below), whose sum is σ = 3249792. Its totient is φ = 345600.

The previous prime is 1114943. The next prime is 1114969. The reversal of 1114960 is 694111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114969) 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, 6070 + ... + 6250.

21114960 is an apocalyptic number.

1114960 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 1114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624896).

1114960 is an abundant number, since it is smaller than the sum of its proper divisors (2134832).

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

1114960 is a wasteful number, since it uses less digits than its factorization.

1114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 1114960 is about 1055.9166633783. The cubic root of 1114960 is about 103.6938729658.

The spelling of 1114960 in words is "one million, one hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 181 220 280 308 362 385 440 560 616 724 770 880 905 1232 1267 1448 1540 1810 1991 2534 2896 3080 3620 3982 5068 6160 6335 7240 7964 9955 10136 12670 13937 14480 15928 19910 20272 25340 27874 31856 39820 50680 55748 69685 79640 101360 111496 139370 159280 222992 278740 557480 1114960