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140350784 = 2672353257
BaseRepresentation
bin10000101110110…
…01010101000000
3100210002120002012
420113121111000
5241412211114
621532112052
73322650650
oct1027312500
9323076065
10140350784
1172251692
123b005628
1323100c02
14148d6360
15c4c563e
hex85d9540

140350784 has 112 divisors (see below), whose sum is σ = 339717888. Its totient is φ = 56229888.

The previous prime is 140350783. The next prime is 140350801. The reversal of 140350784 is 487053041.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 140350784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140350781) 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 15 ways as a sum of consecutive naturals, for example, 545984 + ... + 546240.

Almost surely, 2140350784 is an apocalyptic number.

140350784 is a gapful number since it is divisible by the number (14) 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 140350784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169858944).

140350784 is an abundant number, since it is smaller than the sum of its proper divisors (199367104).

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

140350784 is a wasteful number, since it uses less digits than its factorization.

140350784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 140350784 is about 11846.9736219846. The cubic root of 140350784 is about 519.6827255887.

The spelling of 140350784 in words is "one hundred forty million, three hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 161 184 212 224 257 322 368 371 424 448 514 644 736 742 848 1028 1219 1288 1472 1484 1696 1799 2056 2438 2576 2968 3392 3598 4112 4876 5152 5911 5936 7196 8224 8533 9752 10304 11822 11872 13621 14392 16448 17066 19504 23644 23744 27242 28784 34132 39008 41377 47288 54484 57568 68264 78016 82754 94576 95347 108968 115136 136528 165508 189152 190694 217936 273056 313283 331016 378304 381388 435872 546112 626566 662032 762776 871744 1253132 1324064 1525552 2192981 2506264 2648128 3051104 4385962 5012528 6102208 8771924 10025056 17543848 20050112 35087696 70175392 140350784