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35014140 = 22335759157
BaseRepresentation
bin1000010110010…
…0010111111100
32102212220101000
42011210113330
532430423030
63250250300
7603421020
oct205442774
972786330
1035014140
1118845707
12b886990
13733c335
144916380
153119860
hex21645fc

35014140 has 192 divisors, whose sum is σ = 127411200. Its totient is φ = 7817472.

The previous prime is 35014121. The next prime is 35014153. The reversal of 35014140 is 4141053.

It is a happy number.

35014140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222942 + ... + 223098.

It is an arithmetic number, because the mean of its divisors is an integer number (663600).

Almost surely, 235014140 is an apocalyptic number.

35014140 is a gapful number since it is divisible by the number (30) 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 35014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63705600).

35014140 is an abundant number, since it is smaller than the sum of its proper divisors (92397060).

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

35014140 is a wasteful number, since it uses less digits than its factorization.

35014140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 35014140 is about 5917.2747105403. The cubic root of 35014140 is about 327.1506754477.

Adding to 35014140 its reverse (4141053), we get a palindrome (39155193).

The spelling of 35014140 in words is "thirty-five million, fourteen thousand, one hundred forty".