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140806656 = 293230557
BaseRepresentation
bin10000110010010…
…00101000000000
3100210221201102100
420121020220000
5242021303111
621545550400
73326560014
oct1031105000
9323851370
10140806656
1172533141
123b1a5400
1323230563
14149b4544
15c565756
hex8648a00

140806656 has 60 divisors (see below), whose sum is σ = 406390842. Its totient is φ = 46934016.

The previous prime is 140806651. The next prime is 140806657. The reversal of 140806656 is 656608041.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 2509056 = 11760^2 + 1584^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 140806656.

It is not an unprimeable number, because it can be changed into a prime (140806651) 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 5 ways as a sum of consecutive naturals, for example, 10671 + ... + 19886.

Almost surely, 2140806656 is an apocalyptic number.

140806656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

140806656 is an abundant number, since it is smaller than the sum of its proper divisors (265584186).

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

140806656 is an equidigital number, since it uses as much as digits as its factorization.

140806656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30581 (or 30562 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 140806656 is about 11866.1980431813. The cubic root of 140806656 is about 520.2447762787.

It can be divided in two parts, 14080 and 6656, that added together give a 4-th power (20736 = 124).

The spelling of 140806656 in words is "one hundred forty million, eight hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 30557 61114 91671 122228 183342 244456 275013 366684 488912 550026 733368 977824 1100052 1466736 1955648 2200104 2933472 3911296 4400208 5866944 7822592 8800416 11733888 15645184 17600832 23467776 35201664 46935552 70403328 140806656