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114300020 = 22529434583
BaseRepresentation
bin1101101000000…
…01010001110100
321222002001011002
412310001101310
5213230100040
615201502432
72555351132
oct664012164
9258061132
10114300020
115957932a
1232341a18
131a8ac663
1411274752
15a07ba15
hex6d01474

114300020 has 48 divisors (see below), whose sum is σ = 254136960. Its totient is φ = 43107456.

The previous prime is 114300013. The next prime is 114300023. The reversal of 114300020 is 20003411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114299974 and 114300010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22649 + ... + 27231.

It is an arithmetic number, because the mean of its divisors is an integer number (5294520).

Almost surely, 2114300020 is an apocalyptic number.

114300020 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 114300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127068480).

114300020 is an abundant number, since it is smaller than the sum of its proper divisors (139836940).

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

114300020 is a wasteful number, since it uses less digits than its factorization.

114300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 114300020 is about 10691.1187440791. The cubic root of 114300020 is about 485.3057483332.

Adding to 114300020 its reverse (20003411), we get a palindrome (134303431).

The spelling of 114300020 in words is "one hundred fourteen million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 43 58 86 116 145 172 215 290 430 580 860 1247 2494 4583 4988 6235 9166 12470 18332 22915 24940 45830 91660 132907 197069 265814 394138 531628 664535 788276 985345 1329070 1970690 2658140 3941380 5715001 11430002 22860004 28575005 57150010 114300020