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114706000 = 245383691
BaseRepresentation
bin1101101011001…
…00011001010000
321222211200001101
412311210121100
5213331043000
615214314144
72561661553
oct665443120
9258750041
10114706000
1159826352
12324b8954
131a9c2396
141133c69a
15a10be6a
hex6d64650

114706000 has 80 divisors (see below), whose sum is σ = 281107008. Its totient is φ = 45264000.

The previous prime is 114705979. The next prime is 114706001. The reversal of 114706000 is 607411.

It is a happy number.

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 (114706001) 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, 165655 + ... + 166345.

Almost surely, 2114706000 is an apocalyptic number.

114706000 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 114706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140553504).

114706000 is an abundant number, since it is smaller than the sum of its proper divisors (166401008).

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

114706000 is an equidigital number, since it uses as much as digits as its factorization.

114706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 114706000 is about 10710.0887017802. The cubic root of 114706000 is about 485.8796520469.

The spelling of 114706000 in words is "one hundred fourteen million, seven hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 500 664 691 830 1000 1328 1382 1660 2000 2075 2764 3320 3455 4150 5528 6640 6910 8300 10375 11056 13820 16600 17275 20750 27640 33200 34550 41500 55280 57353 69100 83000 86375 114706 138200 166000 172750 229412 276400 286765 345500 458824 573530 691000 917648 1147060 1382000 1433825 2294120 2867650 4588240 5735300 7169125 11470600 14338250 22941200 28676500 57353000 114706000