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114066820 = 2257814763
BaseRepresentation
bin1101100110010…
…00010110000100
321221122012021001
412303020112010
5213200114240
615152503044
72553360220
oct663102604
9257565231
10114066820
115942a0aa
123224aa84
131a82a47a
1411213780
15a03289a
hex6cc8584

114066820 has 24 divisors (see below), whose sum is σ = 273760704. Its totient is φ = 39108576.

The previous prime is 114066803. The next prime is 114066847. The reversal of 114066820 is 28660411.

It is a super-2 number, since 2×1140668202 = 26022478849824800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 407242 + ... + 407521.

It is an arithmetic number, because the mean of its divisors is an integer number (11406696).

Almost surely, 2114066820 is an apocalyptic number.

114066820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114066820 is an abundant number, since it is smaller than the sum of its proper divisors (159693884).

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

114066820 is a wasteful number, since it uses less digits than its factorization.

114066820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814779 (or 814777 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 114066820 is about 10680.2069268343. The cubic root of 114066820 is about 484.9754761398.

The spelling of 114066820 in words is "one hundred fourteen million, sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 814763 1629526 3259052 4073815 5703341 8147630 11406682 16295260 22813364 28516705 57033410 114066820