Search a number
-
+
107434000 = 245353717
BaseRepresentation
bin1100110011101…
…01000000010000
321111011012202001
412121311000100
5210000342000
614354403344
72443113442
oct631650020
9244135661
10107434000
1155709833
122bb90554
131934741b
14103a8492
15967246a
hex6675010

107434000 has 40 divisors (see below), whose sum is σ = 259780248. Its totient is φ = 42972800.

The previous prime is 107433983. The next prime is 107434013. The reversal of 107434000 is 434701.

It is a happy number.

107434000 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 4 ways, for example, as 4857616 + 102576384 = 2204^2 + 10128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24859 + ... + 28858.

Almost surely, 2107434000 is an apocalyptic number.

107434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107434000 is an abundant number, since it is smaller than the sum of its proper divisors (152346248).

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

107434000 is an equidigital number, since it uses as much as digits as its factorization.

107434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53740 (or 53724 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 107434000 is about 10365.0373853643. The cubic root of 107434000 is about 475.3869423230.

Adding to 107434000 its reverse (434701), we get a palindrome (107868701).

The spelling of 107434000 in words is "one hundred seven million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 53717 107434 214868 268585 429736 537170 859472 1074340 1342925 2148680 2685850 4297360 5371700 6714625 10743400 13429250 21486800 26858500 53717000 107434000