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140434840 = 23571341941
BaseRepresentation
bin10000101111011…
…01110110011000
3100210020211101101
420113231312120
5241422403330
621534001144
73323451010
oct1027556630
9323224341
10140434840
11722a9857
123b0461b4
1323130250
1414918c40
15c4e04ca
hex85edd98

140434840 has 128 divisors (see below), whose sum is σ = 398805120. Its totient is φ = 43315200.

The previous prime is 140434831. The next prime is 140434859. The reversal of 140434840 is 48434041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 140434799 and 140434808.

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, 148770 + ... + 149710.

It is an arithmetic number, because the mean of its divisors is an integer number (3115665).

Almost surely, 2140434840 is an apocalyptic number.

140434840 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 140434840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199402560).

140434840 is an abundant number, since it is smaller than the sum of its proper divisors (258370280).

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

140434840 is a wasteful number, since it uses less digits than its factorization.

140434840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 140434840 is about 11850.5206636671. The cubic root of 140434840 is about 519.7864507749.

Adding to 140434840 its reverse (48434041), we get a palindrome (188868881).

The spelling of 140434840 in words is "one hundred forty million, four hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 941 1066 1148 1435 1640 1820 1882 2132 2296 2665 2870 3640 3731 3764 4264 4705 5330 5740 6587 7462 7528 9410 10660 11480 12233 13174 14924 18655 18820 21320 24466 26348 29848 32935 37310 37640 38581 48932 52696 61165 65870 74620 77162 85631 97864 122330 131740 149240 154324 171262 192905 244660 263480 270067 308648 342524 385810 428155 489320 501553 540134 685048 771620 856310 1003106 1080268 1350335 1543240 1712620 2006212 2160536 2507765 2700670 3425240 3510871 4012424 5015530 5401340 7021742 10031060 10802680 14043484 17554355 20062120 28086968 35108710 70217420 140434840