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114272980 = 22517477151
BaseRepresentation
bin1101100111110…
…10101011010100
321222000200001121
412303322223110
5213223213410
615201133324
72555206243
oct663725324
9258020047
10114272980
115955aa88
123232a244
131a8a0263
141126895a
15a0739da
hex6cfaad4

114272980 has 48 divisors (see below), whose sum is σ = 259531776. Its totient is φ = 42099200.

The previous prime is 114272957. The next prime is 114272981. The reversal of 114272980 is 89272411.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114272981) 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, 12405 + ... + 19555.

It is an arithmetic number, because the mean of its divisors is an integer number (5406912).

Almost surely, 2114272980 is an apocalyptic number.

114272980 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 114272980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129765888).

114272980 is an abundant number, since it is smaller than the sum of its proper divisors (145258796).

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

114272980 is a wasteful number, since it uses less digits than its factorization.

114272980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7224 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 114272980 is about 10689.8540682275. The cubic root of 114272980 is about 485.2674756587.

The spelling of 114272980 in words is "one hundred fourteen million, two hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 340 470 799 940 1598 3196 3995 7151 7990 14302 15980 28604 35755 71510 121567 143020 243134 336097 486268 607835 672194 1215670 1344388 1680485 2431340 3360970 5713649 6721940 11427298 22854596 28568245 57136490 114272980