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140354940 = 2235111091951
BaseRepresentation
bin10000101110110…
…10010101111100
3100210002202210010
420113122111330
5241412324230
621532143220
73322666035
oct1027322574
9323082703
10140354940
1172254820
123b007b10
1323102a7b
14148d7a8c
15c4c69b0
hex85da57c

140354940 has 96 divisors (see below), whose sum is σ = 432875520. Its totient is φ = 33696000.

The previous prime is 140354917. The next prime is 140354959. The reversal of 140354940 is 49453041.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 140354898 and 140354907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70965 + ... + 72915.

It is an arithmetic number, because the mean of its divisors is an integer number (4509120).

Almost surely, 2140354940 is an apocalyptic number.

140354940 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 140354940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216437760).

140354940 is an abundant number, since it is smaller than the sum of its proper divisors (292520580).

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

140354940 is a wasteful number, since it uses less digits than its factorization.

140354940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 140354940 is about 11847.1490241323. The cubic root of 140354940 is about 519.6878550698.

The spelling of 140354940 in words is "one hundred forty million, three hundred fifty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 218 220 327 330 436 545 654 660 1090 1199 1308 1635 1951 2180 2398 3270 3597 3902 4796 5853 5995 6540 7194 7804 9755 11706 11990 14388 17985 19510 21461 23412 23980 29265 35970 39020 42922 58530 64383 71940 85844 107305 117060 128766 212659 214610 257532 321915 425318 429220 637977 643830 850636 1063295 1275954 1287660 2126590 2339249 2551908 3189885 4253180 4678498 6379770 7017747 9356996 11696245 12759540 14035494 23392490 28070988 35088735 46784980 70177470 140354940