Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
140040 = 23325389
BaseRepresentation
bin100010001100001000
321010002200
4202030020
513440130
63000200
71122165
oct421410
9233080
10140040
119623a
1269060
134b984
143906c
152b760
hex22308

140040 has 48 divisors (see below), whose sum is σ = 456300. Its totient is φ = 37248.

The previous prime is 140009. The next prime is 140053. The reversal of 140040 is 40041.

It can be written as a sum of positive squares in 2 ways, for example, as 133956 + 6084 = 366^2 + 78^2 .

It is a super-2 number, since 2×1400402 = 39222403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

140040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166 + ... + 554.

2140040 is an apocalyptic number.

140040 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 140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228150).

140040 is an abundant number, since it is smaller than the sum of its proper divisors (316260).

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

140040 is a wasteful number, since it uses less digits than its factorization.

140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 140040 is about 374.2191871083. The cubic root of 140040 is about 51.9298857801.

Adding to 140040 its reverse (40041), we get a palindrome (180081).

Subtracting from 140040 its reverse (40041), we obtain a palindrome (99999).

The spelling of 140040 in words is "one hundred forty thousand, forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 389 778 1167 1556 1945 2334 3112 3501 3890 4668 5835 7002 7780 9336 11670 14004 15560 17505 23340 28008 35010 46680 70020 140040