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140130480 = 24357239349
BaseRepresentation
bin10000101101000…
…11100010110000
3100202200100212210
420112203202300
5241333133410
621523252120
73321042450
oct1026434260
9322610783
10140130480
1172111116
123ab1a040
1323054859
1414879d60
15c480220
hex85a38b0

140130480 has 160 divisors (see below), whose sum is σ = 499968000. Its totient is φ = 31804416.

The previous prime is 140130479. The next prime is 140130493. The reversal of 140130480 is 84031041.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 401346 + ... + 401694.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2140130480 is an apocalyptic number.

140130480 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 140130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984000).

140130480 is an abundant number, since it is smaller than the sum of its proper divisors (359837520).

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

140130480 is a wasteful number, since it uses less digits than its factorization.

140130480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 140130480 is about 11837.6720684432. The cubic root of 140130480 is about 519.4106735798.

The spelling of 140130480 in words is "one hundred forty million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 239 240 280 336 349 420 478 560 698 717 840 956 1047 1195 1396 1434 1673 1680 1745 1912 2094 2390 2443 2792 2868 3346 3490 3585 3824 4188 4780 4886 5019 5235 5584 5736 6692 6980 7170 7329 8365 8376 9560 9772 10038 10470 11472 12215 13384 13960 14340 14658 16730 16752 19120 19544 20076 20940 24430 25095 26768 27920 28680 29316 33460 36645 39088 40152 41880 48860 50190 57360 58632 66920 73290 80304 83411 83760 97720 100380 117264 133840 146580 166822 195440 200760 250233 293160 333644 401520 417055 500466 583877 586320 667288 834110 1000932 1167754 1251165 1334576 1668220 1751631 2001864 2335508 2502330 2919385 3336440 3503262 4003728 4671016 5004660 5838770 6672880 7006524 8758155 9342032 10009320 11677540 14013048 17516310 20018640 23355080 28026096 35032620 46710160 70065240 140130480