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114759760 = 2451434497
BaseRepresentation
bin1101101011100…
…01100001010000
321222221101210111
412311301201100
5213334303020
615215411104
72562304363
oct665614120
9258841714
10114759760
1159862785
1232523a94
131aa109ab
14113540da
15a11cd5a
hex6d71850

114759760 has 20 divisors (see below), whose sum is σ = 266816628. Its totient is φ = 45903872.

The previous prime is 114759751. The next prime is 114759763. The reversal of 114759760 is 67957411.

It can be written as a sum of positive squares in 2 ways, for example, as 34621456 + 80138304 = 5884^2 + 8952^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114759763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 717169 + ... + 717328.

Almost surely, 2114759760 is an apocalyptic number.

114759760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114759760 is an abundant number, since it is smaller than the sum of its proper divisors (152056868).

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

114759760 is a wasteful number, since it uses less digits than its factorization.

114759760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434510 (or 1434504 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 114759760 is about 10712.5981909152. The cubic root of 114759760 is about 485.9555469737.

The spelling of 114759760 in words is "one hundred fourteen million, seven hundred fifty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1434497 2868994 5737988 7172485 11475976 14344970 22951952 28689940 57379880 114759760