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140105430 = 23351931881
BaseRepresentation
bin10000101100111…
…01011011010110
3100202122002112000
420112131123112
5241331333210
621522540130
73320606433
oct1026353326
9322562460
10140105430
11720a4313
123ab07646
132304632a
1414870b8a
15c477ac0
hex859d6d6

140105430 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 34214400.

The previous prime is 140105401. The next prime is 140105437. The reversal of 140105430 is 34501041.

It is a happy number.

140105430 is a nontrivial binomial coefficient, being equal to C(16740, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140105437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 158590 + ... + 159470.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2140105430 is an apocalyptic number.

140105430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140105430 is the 16739-th triangular number and also the 8370-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140105430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

140105430 is an abundant number, since it is smaller than the sum of its proper divisors (266320170).

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

140105430 is a wasteful number, since it uses less digits than its factorization.

140105430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140105430 is about 11836.6139583920. The cubic root of 140105430 is about 519.3797214444.

Adding to 140105430 its reverse (34501041), we get a palindrome (174606471).

It can be divided in two parts, 140 and 105430, that added together give a triangular number (105570 = T459).

The spelling of 140105430 in words is "one hundred forty million, one hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 31 38 45 54 57 62 90 93 95 114 135 155 171 186 190 270 279 285 310 342 465 513 558 570 589 837 855 881 930 1026 1178 1395 1674 1710 1762 1767 2565 2643 2790 2945 3534 4185 4405 5130 5286 5301 5890 7929 8370 8810 8835 10602 13215 15858 15903 16739 17670 23787 26430 26505 27311 31806 33478 39645 47574 50217 53010 54622 79290 79515 81933 83695 100434 118935 136555 150651 159030 163866 167390 237870 245799 251085 273110 301302 409665 451953 491598 502170 518909 737397 753255 819330 903906 1037818 1228995 1474794 1506510 1556727 2259765 2457990 2594545 3113454 3686985 4519530 4670181 5189090 7373970 7783635 9340362 14010543 15567270 23350905 28021086 46701810 70052715 140105430