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140440800 = 25352163359
BaseRepresentation
bin10000101111011…
…11010011100000
3100210021010120010
420113233103200
5241423101200
621534044520
73323504253
oct1027572340
9323233503
10140440800
1172303285
123b049740
1323132b86
141491b09a
15c4e2150
hex85ef4e0

140440800 has 144 divisors (see below), whose sum is σ = 461220480. Its totient is φ = 37117440.

The previous prime is 140440793. The next prime is 140440801. The reversal of 140440800 is 8044041.

140440800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140440801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391021 + ... + 391379.

It is an arithmetic number, because the mean of its divisors is an integer number (3202920).

Almost surely, 2140440800 is an apocalyptic number.

140440800 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 140440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230610240).

140440800 is an abundant number, since it is smaller than the sum of its proper divisors (320779680).

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

140440800 is a wasteful number, since it uses less digits than its factorization.

140440800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 140440800 is about 11850.7721267435. The cubic root of 140440800 is about 519.7938038492.

Adding to 140440800 its reverse (8044041), we get a palindrome (148484841).

The spelling of 140440800 in words is "one hundred forty million, four hundred forty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 163 200 240 300 326 359 400 480 489 600 652 718 800 815 978 1077 1200 1304 1436 1630 1795 1956 2154 2400 2445 2608 2872 3260 3590 3912 4075 4308 4890 5216 5385 5744 6520 7180 7824 8150 8616 8975 9780 10770 11488 12225 13040 14360 15648 16300 17232 17950 19560 21540 24450 26080 26925 28720 32600 34464 35900 39120 43080 48900 53850 57440 58517 65200 71800 78240 86160 97800 107700 117034 130400 143600 172320 175551 195600 215400 234068 287200 292585 351102 391200 430800 468136 585170 702204 861600 877755 936272 1170340 1404408 1462925 1755510 1872544 2340680 2808816 2925850 3511020 4388775 4681360 5617632 5851700 7022040 8777550 9362720 11703400 14044080 17555100 23406800 28088160 35110200 46813600 70220400 140440800