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140888400 = 243521131039
BaseRepresentation
bin10000110010111…
…00100101010000
3100211002212112220
420121130211100
5242031412100
621551421040
73330350232
oct1031344520
9324085486
10140888400
11725895a4
123b224780
132325b823
14149d6252
15c57eaa0
hex865c950

140888400 has 120 divisors (see below), whose sum is σ = 455744640. Its totient is φ = 37201920.

The previous prime is 140888399. The next prime is 140888411. The reversal of 140888400 is 4888041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 135081 + ... + 136119.

It is an arithmetic number, because the mean of its divisors is an integer number (3797872).

Almost surely, 2140888400 is an apocalyptic number.

140888400 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 140888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227872320).

140888400 is an abundant number, since it is smaller than the sum of its proper divisors (314856240).

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

140888400 is a wasteful number, since it uses less digits than its factorization.

140888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 140888400 is about 11869.6419491070. The cubic root of 140888400 is about 520.3454312319.

The spelling of 140888400 in words is "one hundred forty million, eight hundred eighty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 113 120 150 200 226 240 300 339 400 452 565 600 678 904 1039 1130 1200 1356 1695 1808 2078 2260 2712 2825 3117 3390 4156 4520 5195 5424 5650 6234 6780 8312 8475 9040 10390 11300 12468 13560 15585 16624 16950 20780 22600 24936 25975 27120 31170 33900 41560 45200 49872 51950 62340 67800 77925 83120 103900 117407 124680 135600 155850 207800 234814 249360 311700 352221 415600 469628 587035 623400 704442 939256 1174070 1246800 1408884 1761105 1878512 2348140 2817768 2935175 3522210 4696280 5635536 5870350 7044420 8805525 9392560 11740700 14088840 17611050 23481400 28177680 35222100 46962800 70444200 140888400