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140374000 = 2453135399
BaseRepresentation
bin10000101110111…
…10111111110000
3100210010201221001
420113132333300
5241413432000
621532411344
73323105434
oct1027367760
9323121831
10140374000
1172268078
123b016b54
132310b650
14149009c4
15c4cc46a
hex85deff0

140374000 has 80 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 51820800.

The previous prime is 140373977. The next prime is 140374001. The reversal of 140374000 is 473041.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140374001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23301 + ... + 28699.

It is an arithmetic number, because the mean of its divisors is an integer number (4570020).

Almost surely, 2140374000 is an apocalyptic number.

140374000 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 140374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

140374000 is an abundant number, since it is smaller than the sum of its proper divisors (225227600).

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

140374000 is a wasteful number, since it uses less digits than its factorization.

140374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 140374000 is about 11847.9534097666. The cubic root of 140374000 is about 519.7113782941.

The spelling of 140374000 in words is "one hundred forty million, three hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 5399 6500 10798 13000 21596 26000 26995 43192 53990 70187 86384 107980 134975 140374 215960 269950 280748 350935 431920 539900 561496 674875 701870 1079800 1122992 1349750 1403740 1754675 2159600 2699500 2807480 3509350 5399000 5614960 7018700 8773375 10798000 14037400 17546750 28074800 35093500 70187000 140374000