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140413000 = 23537131543
BaseRepresentation
bin10000101111010…
…00100001001000
3100210012201102111
420113220201020
5241421204000
621533312104
73323330230
oct1027504110
9323181374
10140413000
1172294402
123b035634
1323123320
1414910cc0
15c4d8cba
hex85e8848

140413000 has 128 divisors (see below), whose sum is σ = 404651520. Its totient is φ = 44409600.

The previous prime is 140412989. The next prime is 140413001. The reversal of 140413000 is 314041.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (140413001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90229 + ... + 91771.

It is an arithmetic number, because the mean of its divisors is an integer number (3161340).

Almost surely, 2140413000 is an apocalyptic number.

140413000 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 140413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202325760).

140413000 is an abundant number, since it is smaller than the sum of its proper divisors (264238520).

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

140413000 is a wasteful number, since it uses less digits than its factorization.

140413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 140413000 is about 11849.5991493383. The cubic root of 140413000 is about 519.7595041744.

Adding to 140413000 its reverse (314041), we get a palindrome (140727041).

The spelling of 140413000 in words is "one hundred forty million, four hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1543 1625 1750 1820 2275 2600 3086 3250 3500 3640 4550 6172 6500 7000 7715 9100 10801 11375 12344 13000 15430 18200 20059 21602 22750 30860 38575 40118 43204 45500 54005 61720 77150 80236 86408 91000 100295 108010 140413 154300 160472 192875 200590 216020 270025 280826 308600 385750 401180 432040 501475 540050 561652 702065 771500 802360 1002950 1080100 1123304 1350125 1404130 1543000 2005900 2160200 2507375 2700250 2808260 3510325 4011800 5014750 5400500 5616520 7020650 10029500 10801000 14041300 17551625 20059000 28082600 35103250 70206500 140413000