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140214690 = 232571120233
BaseRepresentation
bin10000101101110…
…00000110100010
3100202211122101200
420112320012202
5241343332230
621525142030
73321543120
oct1026700642
9322748350
10140214690
1172169410
123ab5a916
1323083c95
141489c910
15c49a160
hex85b81a2

140214690 has 96 divisors (see below), whose sum is σ = 454536576. Its totient is φ = 29134080.

The previous prime is 140214689. The next prime is 140214707. The reversal of 140214690 is 96412041.

140214690 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1402146902 = 39320318583592200, which contains 22 as substring.

It is an unprimeable number.

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, 3187 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (4734756).

Almost surely, 2140214690 is an apocalyptic number.

140214690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140214690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227268288).

140214690 is an abundant number, since it is smaller than the sum of its proper divisors (314321886).

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

140214690 is a wasteful number, since it uses less digits than its factorization.

140214690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 140214690 is about 11841.2283991147. The cubic root of 140214690 is about 519.5146976154.

The spelling of 140214690 in words is "one hundred forty million, two hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 20233 40466 60699 101165 121398 141631 182097 202330 222563 283262 303495 364194 424893 445126 606990 667689 708155 849786 910485 1112815 1274679 1335378 1416310 1557941 1820970 2003067 2124465 2225630 2549358 3115882 3338445 4006134 4248930 4673823 6373395 6676890 7789705 9347646 10015335 12746790 14021469 15579410 20030670 23369115 28042938 46738230 70107345 140214690