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1114040720 = 245131071193
BaseRepresentation
bin100001001100110…
…1110100110010000
32212122021010120102
41002121232212100
54240143300340
6302313431532
736415122062
oct10231564620
92778233512
101114040720
11521935311
1227110b5a8
13149a587c0
14a7d55732
1567c0b215
hex4266e990

1114040720 has 40 divisors (see below), whose sum is σ = 2789389176. Its totient is φ = 411337728.

The previous prime is 1114040717. The next prime is 1114040723. The reversal of 1114040720 is 270404111.

It is an interprime number because it is at equal distance from previous prime (1114040717) and next prime (1114040723).

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 1108357264 = 2384^2 + 33292^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1114040692 and 1114040701.

It is not an unprimeable number, because it can be changed into a prime (1114040723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534557 + ... + 536636.

Almost surely, 21114040720 is an apocalyptic number.

1114040720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114040720 is an abundant number, since it is smaller than the sum of its proper divisors (1675348456).

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

1114040720 is a wasteful number, since it uses less digits than its factorization.

1114040720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071219 (or 1071213 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1114040720 is about 33377.2485384880. The cubic root of 1114040720 is about 1036.6536673733.

Adding to 1114040720 its reverse (270404111), we get a palindrome (1384444831).

The spelling of 1114040720 in words is "one billion, one hundred fourteen million, forty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1071193 2142386 4284772 5355965 8569544 10711930 13925509 17139088 21423860 27851018 42847720 55702036 69627545 85695440 111404072 139255090 222808144 278510180 557020360 1114040720