Search a number
-
+
1105540450 = 252749209
BaseRepresentation
bin100000111100101…
…0011010101100010
32212001021021101121
41001321103111202
54231004243300
6301411322454
736252640000
oct10171232542
92761237347
101105540450
115180599a3
1226a2b042a
13148070761
14a6b81a70
15670cc81a
hex41e53562

1105540450 has 60 divisors (see below), whose sum is σ = 2399140530. Its totient is φ = 379001280.

The previous prime is 1105540433. The next prime is 1105540451. The reversal of 1105540450 is 540455011.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 617174649 + 488365801 = 24843^2 + 22099^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1105540451) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 115446 + ... + 124654.

Almost surely, 21105540450 is an apocalyptic number.

1105540450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1105540450 is an abundant number, since it is smaller than the sum of its proper divisors (1293600080).

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

1105540450 is an frugal number, since it uses more digits than its factorization.

1105540450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9223 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 1105540450 is about 33249.6684193993. The cubic root of 1105540450 is about 1034.0103339047.

Adding to 1105540450 its reverse (540455011), we get a palindrome (1645995461).

The spelling of 1105540450 in words is "one billion, one hundred five million, five hundred forty thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 490 686 1225 1715 2401 2450 3430 4802 8575 9209 12005 17150 18418 24010 46045 60025 64463 92090 120050 128926 230225 322315 451241 460450 644630 902482 1611575 2256205 3158687 3223150 4512410 6317374 11281025 15793435 22110809 22562050 31586870 44221618 78967175 110554045 157934350 221108090 552770225 1105540450