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114055732 = 2273591409
BaseRepresentation
bin1101100110001…
…01101000110100
321221121122001101
412303011220310
5213144240412
615152335444
72553313000
oct663055064
9257548041
10114055732
115942183a
1232244584
131a8253cb
141120d700
15a02e457
hex6cc5a34

114055732 has 48 divisors (see below), whose sum is σ = 236880000. Its totient is φ = 48018432.

The previous prime is 114055729. The next prime is 114055741. The reversal of 114055732 is 237550411.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114055732.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80244 + ... + 81652.

It is an arithmetic number, because the mean of its divisors is an integer number (4935000).

Almost surely, 2114055732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114055732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118440000).

114055732 is an abundant number, since it is smaller than the sum of its proper divisors (122824268).

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

114055732 is a wasteful number, since it uses less digits than its factorization.

114055732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 114055732 is about 10679.6878231529. The cubic root of 114055732 is about 484.9597614259.

The spelling of 114055732 in words is "one hundred fourteen million, fifty-five thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 59 98 118 196 236 343 413 686 826 1372 1409 1652 2818 2891 5636 5782 9863 11564 19726 20237 39452 40474 69041 80948 83131 138082 166262 276164 332524 483287 581917 966574 1163834 1933148 2327668 4073419 8146838 16293676 28513933 57027866 114055732