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114719000 = 23531110429
BaseRepresentation
bin1101101011001…
…11100100011000
321222212022212212
412311213210120
5213332002000
615214454252
72562044504
oct665474430
9258768785
10114719000
11598350a0
1232504388
131a9c8286
1411343304
15a110c35
hex6d67918

114719000 has 64 divisors (see below), whose sum is σ = 292874400. Its totient is φ = 41712000.

The previous prime is 114718997. The next prime is 114719021. The reversal of 114719000 is 917411.

It is a super-2 number, since 2×1147190002 = 26320897922000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5786 + ... + 16214.

Almost surely, 2114719000 is an apocalyptic number.

114719000 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 114719000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146437200).

114719000 is an abundant number, since it is smaller than the sum of its proper divisors (178155400).

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

114719000 is a wasteful number, since it uses less digits than its factorization.

114719000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10461 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 23.

The square root of 114719000 is about 10710.6955889895. The cubic root of 114719000 is about 485.8980067882.

The spelling of 114719000 in words is "one hundred fourteen million, seven hundred nineteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 10429 11000 20858 41716 52145 83432 104290 114719 208580 229438 260725 417160 458876 521450 573595 917752 1042900 1147190 1303625 2085800 2294380 2607250 2867975 4588760 5214500 5735950 10429000 11471900 14339875 22943800 28679750 57359500 114719000