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140976 = 24321189
BaseRepresentation
bin100010011010110000
321011101100
4202122300
514002401
63004400
71125003
oct423260
9234340
10140976
1196a10
1269700
134c224
143953a
152bb86
hex226b0

140976 has 60 divisors (see below), whose sum is σ = 435240. Its totient is φ = 42240.

The previous prime is 140939. The next prime is 140977. The reversal of 140976 is 679041.

It is not an unprimeable number, because it can be changed into a prime (140977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1540 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2140976 is an apocalyptic number.

140976 is a gapful number since it is divisible by the number (16) 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 140976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217620).

140976 is an abundant number, since it is smaller than the sum of its proper divisors (294264).

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

140976 is a wasteful number, since it uses less digits than its factorization.

140976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 140976 is about 375.4677083319. The cubic root of 140976 is about 52.0453253726.

It can be divided in two parts, 1409 and 76, that added together give a triangular number (1485 = T54).

The spelling of 140976 in words is "one hundred forty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 89 99 132 144 176 178 198 264 267 356 396 528 534 712 792 801 979 1068 1424 1584 1602 1958 2136 2937 3204 3916 4272 5874 6408 7832 8811 11748 12816 15664 17622 23496 35244 46992 70488 140976