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1414512020 = 225315938669
BaseRepresentation
bin101010001001111…
…1011110110010100
310122120122122201002
41110103323312110
510344103341040
6352205522432
750024103515
oct12423736624
93576578632
101414512020
116665008a9
12335873418
1319708cc7c
14d5c0ca0c
15842aea15
hex544fbd94

1414512020 has 48 divisors (see below), whose sum is σ = 3118348800. Its totient is φ = 538258560.

The previous prime is 1414511993. The next prime is 1414512023. The reversal of 1414512020 is 202154141.

It is a happy number.

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 = 1414511983 and 1414512001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414512023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17246 + ... + 55914.

It is an arithmetic number, because the mean of its divisors is an integer number (64965600).

Almost surely, 21414512020 is an apocalyptic number.

1414512020 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 1414512020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559174400).

1414512020 is an abundant number, since it is smaller than the sum of its proper divisors (1703836780).

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

1414512020 is a wasteful number, since it uses less digits than its factorization.

1414512020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38768 (or 38766 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1414512020 is about 37609.9989364531. The cubic root of 1414512020 is about 1122.5410047471.

Adding to 1414512020 its reverse (202154141), we get a palindrome (1616666161).

The spelling of 1414512020 in words is "one billion, four hundred fourteen million, five hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3658 7316 9145 18290 36580 38669 77338 154676 193345 386690 773380 1198739 2281471 2397478 4562942 4794956 5993695 9125884 11407355 11987390 22814710 23974780 45629420 70725601 141451202 282902404 353628005 707256010 1414512020