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140578048 = 281353797
BaseRepresentation
bin10000110000100…
…00110100000000
3100210112002211101
420120100310000
5241441444143
621541024144
73324615352
oct1030206400
9323462741
10140578048
1172397406
123b0b5054
13231804a0
14149550d2
15c51cb4d
hex8610d00

140578048 has 72 divisors (see below), whose sum is σ = 308280168. Its totient is φ = 63578112.

The previous prime is 140578043. The next prime is 140578069. The reversal of 140578048 is 840875041.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 127961344 = 3552^2 + 11312^2 .

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 140577998 and 140578016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140578043) 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 7 ways as a sum of consecutive naturals, for example, 175986 + ... + 176782.

It is an arithmetic number, because the mean of its divisors is an integer number (4281669).

Almost surely, 2140578048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154140084).

140578048 is an abundant number, since it is smaller than the sum of its proper divisors (167702120).

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

140578048 is an equidigital number, since it uses as much as digits as its factorization.

140578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 37.

The square root of 140578048 is about 11856.5613902177. The cubic root of 140578048 is about 519.9630743010.

The spelling of 140578048 in words is "one hundred forty million, five hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 689 797 832 848 1378 1594 1664 1696 2756 3188 3328 3392 5512 6376 6784 10361 11024 12752 13568 20722 22048 25504 41444 42241 44096 51008 82888 84482 88192 102016 165776 168964 176384 204032 331552 337928 549133 663104 675856 1098266 1326208 1351712 2196532 2652416 2703424 4393064 5406848 8786128 10813696 17572256 35144512 70289024 140578048