Search a number
-
+
114946820 = 2255747341
BaseRepresentation
bin1101101100111…
…11001100000100
322000021220101122
412312133030010
5213411244240
615223413112
72564013632
oct666371404
9260256348
10114946820
115998027a
12325b4198
131aa77b91
14113a2352
15a1584b5
hex6d9f304

114946820 has 12 divisors (see below), whose sum is σ = 241388364. Its totient is φ = 45978720.

The previous prime is 114946763. The next prime is 114946837. The reversal of 114946820 is 28649411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 56821444 + 58125376 = 7538^2 + 7624^2 .

It is a super-2 number, since 2×1149468202 = 26425542856224800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2873651 + ... + 2873690.

It is an arithmetic number, because the mean of its divisors is an integer number (20115697).

Almost surely, 2114946820 is an apocalyptic number.

114946820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114946820 is an abundant number, since it is smaller than the sum of its proper divisors (126441544).

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

114946820 is a wasteful number, since it uses less digits than its factorization.

114946820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5747350 (or 5747348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 114946820 is about 10721.3254777569. The cubic root of 114946820 is about 486.2194417347.

The spelling of 114946820 in words is "one hundred fourteen million, nine hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 5747341 11494682 22989364 28736705 57473410 114946820