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140580 = 223251171
BaseRepresentation
bin100010010100100100
321010211200
4202110210
513444310
63002500
71123566
oct422444
9233750
10140580
1196690
1269430
134bcab
1439336
152b9c0
hex22524

140580 has 72 divisors (see below), whose sum is σ = 471744. Its totient is φ = 33600.

The previous prime is 140557. The next prime is 140587. The reversal of 140580 is 85041.

140580 = T24 + T25 + ... + T94.

140580 = 212 + 222 + ... + 752.

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

It is an Ulam number.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (140587) by changing a digit.

140580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1945 + ... + 2015.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2140580 is an apocalyptic number.

140580 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 140580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

140580 is an abundant number, since it is smaller than the sum of its proper divisors (331164).

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

140580 is a wasteful number, since it uses less digits than its factorization.

140580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 140580 is about 374.9399951992. The cubic root of 140580 is about 51.9965480943.

It can be divided in two parts, 1405 and 80, that added together give a triangular number (1485 = T54).

The spelling of 140580 in words is "one hundred forty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1065 1278 1420 1562 1980 2130 2343 2556 3124 3195 3905 4260 4686 6390 7029 7810 9372 11715 12780 14058 15620 23430 28116 35145 46860 70290 140580