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140020452 = 2232111359461
BaseRepresentation
bin10000101100010…
…00101011100100
3100202110202221200
420112020223210
5241321123302
621521042500
73320103615
oct1026105344
9322422850
10140020452
1172046490
123aa86430
1323016750
141484bc0c
15c45c81c
hex8588ae4

140020452 has 144 divisors (see below), whose sum is σ = 423783360. Its totient is φ = 38419200.

The previous prime is 140020451. The next prime is 140020457. The reversal of 140020452 is 254020041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140020451) 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 47 ways as a sum of consecutive naturals, for example, 303502 + ... + 303962.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940).

Almost surely, 2140020452 is an apocalyptic number.

140020452 is a gapful number since it is divisible by the number (12) 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 140020452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211891680).

140020452 is an abundant number, since it is smaller than the sum of its proper divisors (283762908).

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

140020452 is a wasteful number, since it uses less digits than its factorization.

140020452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140020452 is about 11833.0237893786. The cubic root of 140020452 is about 519.2746939276.

Adding to 140020452 its reverse (254020041), we get a palindrome (394040493).

The spelling of 140020452 in words is "one hundred forty million, twenty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 59 66 78 99 117 118 132 143 156 177 198 234 236 286 354 396 429 461 468 531 572 649 708 767 858 922 1062 1287 1298 1383 1534 1716 1844 1947 2124 2301 2574 2596 2766 3068 3894 4149 4602 5071 5148 5532 5841 5993 6903 7788 8298 8437 9204 10142 11682 11986 13806 15213 16596 16874 17979 20284 23364 23972 25311 27199 27612 30426 33748 35958 45639 50622 53937 54398 60852 65923 71916 75933 81597 91278 101244 107874 108796 131846 151866 163194 182556 197769 215748 244791 263692 299189 303732 326388 353587 395538 489582 593307 598378 707174 791076 897567 979164 1060761 1186614 1196756 1414348 1795134 2121522 2373228 2692701 3182283 3590268 3889457 4243044 5385402 6364566 7778914 10770804 11668371 12729132 15557828 23336742 35005113 46673484 70010226 140020452