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235140000 = 253543919
BaseRepresentation
bin11100000001111…
…11001110100000
3121101110100102220
432000333032200
5440143440000
635155511040
75553441234
oct1600771640
9541410386
10235140000
11110804187
12668b8480
133993b9c4
142332c5c4
151599b1a0
hexe03f3a0

235140000 has 120 divisors (see below), whose sum is σ = 771503040. Its totient is φ = 62688000.

The previous prime is 235139987. The next prime is 235140011. The reversal of 235140000 is 41532.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 19 ways as a sum of consecutive naturals, for example, 58041 + ... + 61959.

It is an arithmetic number, because the mean of its divisors is an integer number (6429192).

Almost surely, 2235140000 is an apocalyptic number.

235140000 is a gapful number since it is divisible by the number (20) 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 235140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385751520).

235140000 is an abundant number, since it is smaller than the sum of its proper divisors (536363040).

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

235140000 is an equidigital number, since it uses as much as digits as its factorization.

235140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 235140000 is about 15334.2753333831. The cubic root of 235140000 is about 617.2230997465.

Adding to 235140000 its reverse (41532), we get a palindrome (235181532).

The spelling of 235140000 in words is "two hundred thirty-five million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 3919 4000 5000 6000 7500 7838 10000 11757 12000 15000 15676 19595 20000 23514 30000 31352 39190 47028 58785 60000 62704 78380 94056 97975 117570 125408 156760 188112 195950 235140 293925 313520 376224 391900 470280 489875 587850 627040 783800 940560 979750 1175700 1469625 1567600 1881120 1959500 2351400 2449375 2939250 3135200 3919000 4702800 4898750 5878500 7348125 7838000 9405600 9797500 11757000 14696250 15676000 19595000 23514000 29392500 39190000 47028000 58785000 78380000 117570000 235140000