Search a number
-
+
140026320 = 2436574
BaseRepresentation
bin10000101100010…
…10000111010000
3100202111002000000
420112022013100
5241321320240
621521130000
73320130000
oct1026120720
9322432000
10140026320
117204a935
123aa89900
1323019315
1414850000
15c45e430
hex858a1d0

140026320 has 350 divisors, whose sum is σ = 569437698. Its totient is φ = 32006016.

The previous prime is 140026319. The next prime is 140026321. The reversal of 140026320 is 23620041.

It is a happy number.

140026320 is a `hidden beast` number, since 1 + 400 + 263 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140026319) and next prime (140026321).

It can be written as a sum of positive squares in only one way, i.e., 112021056 + 28005264 = 10584^2 + 5292^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 140026293 and 140026302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140026321) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 20003757 + ... + 20003763.

Almost surely, 2140026320 is an apocalyptic number.

140026320 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 140026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284718849).

140026320 is an abundant number, since it is smaller than the sum of its proper divisors (429411378).

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

140026320 is an frugal number, since it uses more digits than its factorization.

140026320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 140026320 is about 11833.2717369289. The cubic root of 140026320 is about 519.2819477759.

Adding to 140026320 its reverse (23620041), we get a palindrome (163646361).

The spelling of 140026320 in words is "one hundred forty million, twenty-six thousand, three hundred twenty".