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114742420 = 225132231979
BaseRepresentation
bin1101101011011…
…01010010010100
321222220112000021
412311231102110
5213333224140
615215154524
72562203002
oct665552224
9258815007
10114742420
1159850751
1232515a44
131aa05b30
141134ba72
15a117b4a
hex6d6d494

114742420 has 48 divisors (see below), whose sum is σ = 260789760. Its totient is φ = 42155136.

The previous prime is 114742409. The next prime is 114742421. The reversal of 114742420 is 24247411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114742421) 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, 56991 + ... + 58969.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2114742420 is an apocalyptic number.

114742420 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 114742420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130394880).

114742420 is an abundant number, since it is smaller than the sum of its proper divisors (146047340).

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

114742420 is a wasteful number, since it uses less digits than its factorization.

114742420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 114742420 is about 10711.7888328701. The cubic root of 114742420 is about 485.9310700617.

Adding to 114742420 its reverse (24247411), we get a palindrome (138989831).

The spelling of 114742420 in words is "one hundred fourteen million, seven hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 223 260 446 892 1115 1979 2230 2899 3958 4460 5798 7916 9895 11596 14495 19790 25727 28990 39580 51454 57980 102908 128635 257270 441317 514540 882634 1765268 2206585 4413170 5737121 8826340 11474242 22948484 28685605 57371210 114742420