Search a number
-
+
140341200 = 243521071093
BaseRepresentation
bin10000101110101…
…10111111010000
3100210002001221020
420113112333100
5241411404300
621531555440
73322611006
oct1027267720
9323061836
10140341200
117224546a
123abbbb80
13230c973c
14148d2a76
15c4c28a0
hex85d6fd0

140341200 has 120 divisors (see below), whose sum is σ = 454176288. Its totient is φ = 37040640.

The previous prime is 140341183. The next prime is 140341213. The reversal of 140341200 is 2143041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140341200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127854 + ... + 128946.

Almost surely, 2140341200 is an apocalyptic number.

140341200 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 140341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227088144).

140341200 is an abundant number, since it is smaller than the sum of its proper divisors (313835088).

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

140341200 is a wasteful number, since it uses less digits than its factorization.

140341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 140341200 is about 11846.5691235902. The cubic root of 140341200 is about 519.6708962934.

Adding to 140341200 its reverse (2143041), we get a palindrome (142484241).

The spelling of 140341200 in words is "one hundred forty million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 107 120 150 200 214 240 300 321 400 428 535 600 642 856 1070 1093 1200 1284 1605 1712 2140 2186 2568 2675 3210 3279 4280 4372 5136 5350 5465 6420 6558 8025 8560 8744 10700 10930 12840 13116 16050 16395 17488 21400 21860 25680 26232 27325 32100 32790 42800 43720 52464 54650 64200 65580 81975 87440 109300 116951 128400 131160 163950 218600 233902 262320 327900 350853 437200 467804 584755 655800 701706 935608 1169510 1311600 1403412 1754265 1871216 2339020 2806824 2923775 3508530 4678040 5613648 5847550 7017060 8771325 9356080 11695100 14034120 17542650 23390200 28068240 35085300 46780400 70170600 140341200