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114310420 = 22572513253
BaseRepresentation
bin1101101000000…
…11110100010100
321222002120102021
412310003310110
5213230413140
615202022524
72555423350
oct664036424
9258076367
10114310420
1159586124
1232347a44
131a8b4303
1411278460
15a07eb4a
hex6d03d14

114310420 has 48 divisors (see below), whose sum is σ = 275522688. Its totient is φ = 39024000.

The previous prime is 114310409. The next prime is 114310451. The reversal of 114310420 is 24013411.

It is a junction number, because it is equal to n+sod(n) for n = 114310394 and 114310403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33514 + ... + 36766.

It is an arithmetic number, because the mean of its divisors is an integer number (5740056).

Almost surely, 2114310420 is an apocalyptic number.

114310420 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 114310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137761344).

114310420 is an abundant number, since it is smaller than the sum of its proper divisors (161212268).

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

114310420 is a wasteful number, since it uses less digits than its factorization.

114310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3518 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 114310420 is about 10691.6051180354. The cubic root of 114310420 is about 485.3204669854.

Adding to 114310420 its reverse (24013411), we get a palindrome (138323831).

The spelling of 114310420 in words is "one hundred fourteen million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1757 2510 3253 3514 5020 6506 7028 8785 13012 16265 17570 22771 32530 35140 45542 65060 91084 113855 227710 455420 816503 1633006 3266012 4082515 5715521 8165030 11431042 16330060 22862084 28577605 57155210 114310420