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140200104 = 233113137463
BaseRepresentation
bin10000101101101…
…00100010101000
3100202210220101110
420112310202220
5241342400404
621524550320
73321452442
oct1026644250
9322726343
10140200104
1172159460
123ab523a0
132307a455
1414897492
15c495b89
hex85b48a8

140200104 has 128 divisors (see below), whose sum is σ = 406241280. Its totient is φ = 39916800.

The previous prime is 140200103. The next prime is 140200121. The reversal of 140200104 is 401002041.

It is a super-2 number, since 2×1402001042 = 39312138323221632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 140200104.

It is not an unprimeable number, because it can be changed into a prime (140200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302577 + ... + 303039.

It is an arithmetic number, because the mean of its divisors is an integer number (3173760).

Almost surely, 2140200104 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 140200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203120640).

140200104 is an abundant number, since it is smaller than the sum of its proper divisors (266041176).

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

140200104 is a wasteful number, since it uses less digits than its factorization.

140200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 140200104 is about 11840.6124841581. The cubic root of 140200104 is about 519.4966826124.

Adding to 140200104 its reverse (401002041), we get a palindrome (541202145).

The spelling of 140200104 in words is "one hundred forty million, two hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 37 44 62 66 74 88 93 111 124 132 148 186 222 248 264 296 341 372 407 444 463 682 744 814 888 926 1023 1147 1221 1364 1389 1628 1852 2046 2294 2442 2728 2778 3256 3441 3704 4092 4588 4884 5093 5556 6882 8184 9176 9768 10186 11112 12617 13764 14353 15279 17131 20372 25234 27528 28706 30558 34262 37851 40744 43059 50468 51393 57412 61116 68524 75702 86118 100936 102786 114824 122232 137048 151404 157883 172236 188441 205572 302808 315766 344472 376882 411144 473649 531061 565323 631532 753764 947298 1062122 1130646 1263064 1507528 1593183 1894596 2124244 2261292 3186366 3789192 4248488 4522584 5841671 6372732 11683342 12745464 17525013 23366684 35050026 46733368 70100052 140200104