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140753000 = 2353413433
BaseRepresentation
bin10000110001110…
…11100001101000
3100210211222211002
420120323201220
5242013044000
621544454132
73326244413
oct1030734150
9323758732
10140753000
11724a68a3
123b17a348
1323211ccb
141499cb7a
15c5548d5
hex863b868

140753000 has 64 divisors (see below), whose sum is σ = 337493520. Its totient is φ = 54912000.

The previous prime is 140752987. The next prime is 140753003. The reversal of 140753000 is 357041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4937284 + 135815716 = 2222^2 + 11654^2 .

It is a super-3 number, since 3×1407530003 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (140753003) 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, 39284 + ... + 42716.

Almost surely, 2140753000 is an apocalyptic number.

140753000 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 140753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168746760).

140753000 is an abundant number, since it is smaller than the sum of its proper divisors (196740520).

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

140753000 is a wasteful number, since it uses less digits than its factorization.

140753000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 140753000 is about 11863.9369519565. The cubic root of 140753000 is about 520.1786861261.

The spelling of 140753000 in words is "one hundred forty million, seven hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 820 1000 1025 1640 2050 3433 4100 5125 6866 8200 10250 13732 17165 20500 27464 34330 41000 68660 85825 137320 140753 171650 281506 343300 429125 563012 686600 703765 858250 1126024 1407530 1716500 2815060 3433000 3518825 5630120 7037650 14075300 17594125 28150600 35188250 70376500 140753000