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114249040 = 2451428113
BaseRepresentation
bin1101100111101…
…00110101010000
321221222110012221
412303310311100
5213221432130
615200430424
72555046403
oct663646520
9257873187
10114249040
1159543aa4
1232318414
131a8923a9
141125dd3a
15a06b87a
hex6cf4d50

114249040 has 20 divisors (see below), whose sum is σ = 265629204. Its totient is φ = 45699584.

The previous prime is 114249029. The next prime is 114249053. The reversal of 114249040 is 40942411.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 57638464 = 7524^2 + 7592^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 114248996 and 114249014.

It is a congruent number.

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, 713977 + ... + 714136.

Almost surely, 2114249040 is an apocalyptic number.

114249040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114249040 is an abundant number, since it is smaller than the sum of its proper divisors (151380164).

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

114249040 is a wasteful number, since it uses less digits than its factorization.

114249040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428126 (or 1428120 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 114249040 is about 10688.7342562157. The cubic root of 114249040 is about 485.2335857146.

The spelling of 114249040 in words is "one hundred fourteen million, two hundred forty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1428113 2856226 5712452 7140565 11424904 14281130 22849808 28562260 57124520 114249040