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140506740 = 2232511292447
BaseRepresentation
bin10000101111111…
…11011001110100
3100210101111000100
420113333121310
5241432203430
621535314100
73324200433
oct1027773164
9323344010
10140506740
1172348880
123b07b930
1323156baa
141493711a
15c506960
hex85ff674

140506740 has 144 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 32874240.

The previous prime is 140506739. The next prime is 140506759. The reversal of 140506740 is 47605041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56197 + ... + 58643.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2140506740 is an apocalyptic number.

140506740 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 140506740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

140506740 is an abundant number, since it is smaller than the sum of its proper divisors (340672140).

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

140506740 is a wasteful number, since it uses less digits than its factorization.

140506740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2497 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 140506740 is about 11853.5538974605. The cubic root of 140506740 is about 519.8751426067.

It can be divided in two parts, 140506 and 740, that added together give a triangular number (141246 = T531).

The spelling of 140506740 in words is "one hundred forty million, five hundred six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2447 2610 2871 3190 3828 4785 4894 5220 5742 6380 7341 9570 9788 11484 12235 14355 14682 19140 22023 24470 26917 28710 29364 36705 44046 48940 53834 57420 70963 73410 80751 88092 107668 110115 134585 141926 146820 161502 212889 220230 242253 269170 283852 323004 354815 403755 425778 440460 484506 538340 638667 709630 780593 807510 851556 969012 1064445 1211265 1277334 1419260 1561186 1615020 2128890 2341779 2422530 2554668 3122372 3193335 3902965 4257780 4683558 4845060 6386670 7025337 7805930 9367116 11708895 12773340 14050674 15611860 23417790 28101348 35126685 46835580 70253370 140506740