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1105414420 = 2251127118541
BaseRepresentation
bin100000111100011…
…0100100100010100
32212001000212111211
41001320310210110
54230441230140
6301404511204
736251603365
oct10170644424
92761025454
101105414420
11517a83240
1226a24b504
13148028296
14a6b4bb6c
15670a52ea
hex41e34914

1105414420 has 48 divisors (see below), whose sum is σ = 2541885696. Its totient is φ = 400464000.

The previous prime is 1105414417. The next prime is 1105414423. The reversal of 1105414420 is 244145011.

It is an interprime number because it is at equal distance from previous prime (1105414417) and next prime (1105414423).

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

It is a junction number, because it is equal to n+sod(n) for n = 1105414391 and 1105414400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105414423) 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, 50350 + ... + 68890.

It is an arithmetic number, because the mean of its divisors is an integer number (52955952).

Almost surely, 21105414420 is an apocalyptic number.

1105414420 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 1105414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270942848).

1105414420 is an abundant number, since it is smaller than the sum of its proper divisors (1436471276).

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

1105414420 is a wasteful number, since it uses less digits than its factorization.

1105414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18832 (or 18830 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 1105414420 is about 33247.7731585139. The cubic root of 1105414420 is about 1033.9710405212.

Adding to 1105414420 its reverse (244145011), we get a palindrome (1349559431).

The spelling of 1105414420 in words is "one billion, one hundred five million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 271 542 1084 1355 2710 2981 5420 5962 11924 14905 18541 29810 37082 59620 74164 92705 185410 203951 370820 407902 815804 1019755 2039510 4079020 5024611 10049222 20098444 25123055 50246110 55270721 100492220 110541442 221082884 276353605 552707210 1105414420