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140435460 = 2232511193733
BaseRepresentation
bin10000101111011…
…10000000000100
3100210020212020100
420113232000010
5241422413320
621534004100
73323452554
oct1027560004
9323225210
10140435460
11722aa270
123b046630
1323130609
1414919164
15c4e0790
hex85ee004

140435460 has 144 divisors (see below), whose sum is σ = 489303360. Its totient is φ = 32244480.

The previous prime is 140435443. The next prime is 140435473. The reversal of 140435460 is 64534041.

140435460 = T109 + T110 + ... + T944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35754 + ... + 39486.

It is an arithmetic number, because the mean of its divisors is an integer number (3397940).

Almost surely, 2140435460 is an apocalyptic number.

140435460 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 140435460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244651680).

140435460 is an abundant number, since it is smaller than the sum of its proper divisors (348867900).

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

140435460 is a wasteful number, since it uses less digits than its factorization.

140435460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 140435460 is about 11850.5468228264. The cubic root of 140435460 is about 519.7872157018.

It can be divided in two parts, 14043 and 5460, that added together give a triangular number (19503 = T197).

The spelling of 140435460 in words is "one hundred forty million, four hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3733 3762 4180 6270 7466 7524 9405 11199 12540 14932 18665 18810 22398 33597 37330 37620 41063 44796 55995 67194 70927 74660 82126 111990 123189 134388 141854 164252 167985 205315 212781 223980 246378 283708 335970 354635 369567 410630 425562 492756 615945 638343 671940 709270 739134 780197 821260 851124 1063905 1231890 1276686 1418540 1478268 1560394 1847835 2127810 2340591 2463780 2553372 3120788 3191715 3695670 3900985 4255620 4681182 6383430 7021773 7391340 7801970 9362364 11702955 12766860 14043546 15603940 23405910 28087092 35108865 46811820 70217730 140435460