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140001280 = 21451709
BaseRepresentation
bin10000101100001…
…00000000000000
3100202102210122121
420112010000000
5241320020110
621520414024
73316663666
oct1026040000
9322383577
10140001280
1172033041
123aa77314
132300aac3
1414844c36
15c456cda
hex8584000

140001280 has 60 divisors (see below), whose sum is σ = 336189420. Its totient is φ = 55967744.

The previous prime is 140001233. The next prime is 140001287. The reversal of 140001280 is 82100041.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 102252544 = 6144^2 + 10112^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (140001287) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 81066 + ... + 82774.

It is an arithmetic number, because the mean of its divisors is an integer number (5603157).

Almost surely, 2140001280 is an apocalyptic number.

140001280 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 140001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168094710).

140001280 is an abundant number, since it is smaller than the sum of its proper divisors (196188140).

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

140001280 is an frugal number, since it uses more digits than its factorization.

140001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 140001280 is about 11832.2136559479. The cubic root of 140001280 is about 519.2509926547.

The spelling of 140001280 in words is "one hundred forty million, one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 1709 2048 2560 3418 4096 5120 6836 8192 8545 10240 13672 16384 17090 20480 27344 34180 40960 54688 68360 81920 109376 136720 218752 273440 437504 546880 875008 1093760 1750016 2187520 3500032 4375040 7000064 8750080 14000128 17500160 28000256 35000320 70000640 140001280