Search a number
-
+
140104800 = 253252112961
BaseRepresentation
bin10000101100111…
…01010001100000
3100202122001122200
420112131101200
5241331323200
621522533200
73320604543
oct1026352140
9322561580
10140104800
11720a38a0
123ab07200
1323045c64
141487085a
15c477800
hex859d460

140104800 has 432 divisors, whose sum is σ = 566682480. Its totient is φ = 32256000.

The previous prime is 140104787. The next prime is 140104813. The reversal of 140104800 is 8401041.

It is an interprime number because it is at equal distance from previous prime (140104787) and next prime (140104813).

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 (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2296770 + ... + 2296830.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 2140104800 is an apocalyptic number.

140104800 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 140104800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283341240).

140104800 is an abundant number, since it is smaller than the sum of its proper divisors (426577680).

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

140104800 is a wasteful number, since it uses less digits than its factorization.

140104800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 140104800 is about 11836.5873460217. The cubic root of 140104800 is about 519.3789429599.

Adding to 140104800 its reverse (8401041), we get a palindrome (148505841).

The spelling of 140104800 in words is "one hundred forty million, one hundred four thousand, eight hundred".