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140124000 = 2535311677
BaseRepresentation
bin10000101101000…
…01111101100000
3100202200000222210
420112201331200
5241332432000
621523202120
73321014532
oct1026417540
9322600883
10140124000
1172107265
123ab16340
1323051913
1414877852
15c47d350
hex85a1f60

140124000 has 96 divisors (see below), whose sum is σ = 459085536. Its totient is φ = 37363200.

The previous prime is 140123987. The next prime is 140124043. The reversal of 140124000 is 421041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6162 + ... + 17838.

It is an arithmetic number, because the mean of its divisors is an integer number (4782141).

Almost surely, 2140124000 is an apocalyptic number.

140124000 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 140124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229542768).

140124000 is an abundant number, since it is smaller than the sum of its proper divisors (318961536).

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

140124000 is a wasteful number, since it uses less digits than its factorization.

140124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11705 (or 11687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 140124000 is about 11837.3983628160. The cubic root of 140124000 is about 519.4026671535.

Adding to 140124000 its reverse (421041), we get a palindrome (140545041).

The spelling of 140124000 in words is "one hundred forty million, one hundred twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 11677 12000 23354 35031 46708 58385 70062 93416 116770 140124 175155 186832 233540 280248 291925 350310 373664 467080 560496 583850 700620 875775 934160 1120992 1167700 1401240 1459625 1751550 1868320 2335400 2802480 2919250 3503100 4378875 4670800 5604960 5838500 7006200 8757750 9341600 11677000 14012400 17515500 23354000 28024800 35031000 46708000 70062000 140124000