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140074000 = 2453116367
BaseRepresentation
bin10000101100101…
…01110000010000
3100202120111101221
420112111300100
5241324332000
621522134424
73320416003
oct1026256020
9322514357
10140074000
1172082740
123aab1414
1323034c31
141486353a
15c46d61a
hex8595c10

140074000 has 80 divisors (see below), whose sum is σ = 369547776. Its totient is φ = 50928000.

The previous prime is 140073937. The next prime is 140074001. The reversal of 140074000 is 470041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (140074001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18817 + ... + 25183.

Almost surely, 2140074000 is an apocalyptic number.

140074000 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 140074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184773888).

140074000 is an abundant number, since it is smaller than the sum of its proper divisors (229473776).

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

140074000 is a wasteful number, since it uses less digits than its factorization.

140074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 140074000 is about 11835.2862238308. The cubic root of 140074000 is about 519.3408808716.

The spelling of 140074000 in words is "one hundred forty million, seventy-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 6367 11000 12734 22000 25468 31835 50936 63670 70037 101872 127340 140074 159175 254680 280148 318350 350185 509360 560296 636700 700370 795875 1120592 1273400 1400740 1591750 1750925 2546800 2801480 3183500 3501850 5602960 6367000 7003700 8754625 12734000 14007400 17509250 28014800 35018500 70037000 140074000