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114561360 = 24325159113
BaseRepresentation
bin1101101010000…
…01000101010000
321222120022122100
412311001011100
5213311430420
615211240400
72560520064
oct665010520
9258508570
10114561360
1159737711
1232449100
131a9715b4
1411301aa4
15a0ce190
hex6d41150

114561360 has 60 divisors (see below), whose sum is σ = 384737652. Its totient is φ = 30549504.

The previous prime is 114561353. The next prime is 114561379. The reversal of 114561360 is 63165411.

114561360 is a `hidden beast` number, since 1 + 1 + 45 + 613 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26501904 + 88059456 = 5148^2 + 9384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78837 + ... + 80276.

Almost surely, 2114561360 is an apocalyptic number.

114561360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114561360 is an abundant number, since it is smaller than the sum of its proper divisors (270176292).

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

114561360 is a wasteful number, since it uses less digits than its factorization.

114561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159132 (or 159123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114561360 is about 10703.3340600021. The cubic root of 114561360 is about 485.6753407562.

It can be divided in two parts, 114561 and 360, that added together give a square (114921 = 3392).

The spelling of 114561360 in words is "one hundred fourteen million, five hundred sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 159113 318226 477339 636452 795565 954678 1272904 1432017 1591130 1909356 2386695 2545808 2864034 3182260 3818712 4773390 5728068 6364520 7160085 7637424 9546780 11456136 12729040 14320170 19093560 22912272 28640340 38187120 57280680 114561360