Search a number
-
+
140001400 = 23527119091
BaseRepresentation
bin10000101100001…
…00000001111000
3100202102210211001
420112010001320
5241320021100
621520414344
73316664230
oct1026040170
9322383731
10140001400
1172033140
123aa773b4
132300ab86
1414844cc0
15c456d6a
hex8584078

140001400 has 96 divisors (see below), whose sum is σ = 405866880. Its totient is φ = 43632000.

The previous prime is 140001359. The next prime is 140001401. The reversal of 140001400 is 4100041.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140001401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10855 + ... + 19945.

It is an arithmetic number, because the mean of its divisors is an integer number (4227780).

Almost surely, 2140001400 is an apocalyptic number.

140001400 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 140001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202933440).

140001400 is an abundant number, since it is smaller than the sum of its proper divisors (265865480).

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

140001400 is a wasteful number, since it uses less digits than its factorization.

140001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9125 (or 9116 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 140001400 is about 11832.2187268492. The cubic root of 140001400 is about 519.2511410107.

Adding to 140001400 its reverse (4100041), we get a palindrome (144101441).

It can be divided in two parts, 14000 and 1400, that added together give a triangular number (15400 = T175).

The spelling of 140001400 in words is "one hundred forty million, one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 140 154 175 200 220 275 280 308 350 385 440 550 616 700 770 1100 1400 1540 1925 2200 3080 3850 7700 9091 15400 18182 36364 45455 63637 72728 90910 100001 127274 181820 200002 227275 254548 318185 363640 400004 454550 500005 509096 636370 700007 800008 909100 1000010 1272740 1400014 1590925 1818200 2000020 2500025 2545480 2800028 3181850 3500035 4000040 5000050 5600056 6363700 7000070 10000100 12727400 14000140 17500175 20000200 28000280 35000350 70000700 140001400