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140672000 = 210537157
BaseRepresentation
bin10000110001001…
…11110000000000
3100210200212201002
420120213300000
5242003001000
621543031132
73325456310
oct1030476000
9323625632
10140672000
1172450a57
123b13b4a8
13231b4191
141497b440
15c53a8d5
hex8627c00

140672000 has 176 divisors, whose sum is σ = 403635648. Its totient is φ = 47923200.

The previous prime is 140671997. The next prime is 140672027. The reversal of 140672000 is 276041.

It is a super-3 number, since 3×1406720003 (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 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, 895922 + ... + 896078.

Almost surely, 2140672000 is an apocalyptic number.

140672000 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 140672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201817824).

140672000 is an abundant number, since it is smaller than the sum of its proper divisors (262963648).

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

140672000 is an equidigital number, since it uses as much as digits as its factorization.

140672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 140672000 is about 11860.5227540779. The cubic root of 140672000 is about 520.0788834964.

The spelling of 140672000 in words is "one hundred forty million, six hundred seventy-two thousand".