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114673360 = 24519372039
BaseRepresentation
bin1101101010111…
…00011011010000
321222210000021111
412311130123100
5213324021420
615213503104
72561464444
oct665343320
9258700244
10114673360
115980387a
12324a1a94
131a9b0579
1411330824
15a10245a
hex6d5c6d0

114673360 has 80 divisors (see below), whose sum is σ = 288374400. Its totient is φ = 42259968.

The previous prime is 114673357. The next prime is 114673367. The reversal of 114673360 is 63376411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114673367) 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, 55221 + ... + 57259.

It is an arithmetic number, because the mean of its divisors is an integer number (3604680).

Almost surely, 2114673360 is an apocalyptic number.

114673360 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 114673360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144187200).

114673360 is an abundant number, since it is smaller than the sum of its proper divisors (173701040).

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

114673360 is a wasteful number, since it uses less digits than its factorization.

114673360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 114673360 is about 10708.5647964608. The cubic root of 114673360 is about 485.8335614142.

The spelling of 114673360 in words is "one hundred fourteen million, six hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 1406 1480 1520 2039 2812 2960 3515 4078 5624 7030 8156 10195 11248 14060 16312 20390 28120 32624 38741 40780 56240 75443 77482 81560 150886 154964 163120 193705 301772 309928 377215 387410 603544 619856 754430 774820 1207088 1433417 1508860 1549640 2866834 3017720 3099280 5733668 6035440 7167085 11467336 14334170 22934672 28668340 57336680 114673360