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141098800 = 24521732039
BaseRepresentation
bin10000110100011…
…11111100110000
3100211111120011111
420122033330300
5242110130200
622000123104
73332214523
oct1032177460
9324446144
10141098800
1172712687
123b306494
132330351b
1414a4cbba
15c5c20ba
hex868ff30

141098800 has 60 divisors (see below), whose sum is σ = 341116560. Its totient is φ = 56085760.

The previous prime is 141098777. The next prime is 141098803. The reversal of 141098800 is 8890141.

141098800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1410988002 = 39817742722880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (141098803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68181 + ... + 70219.

It is an arithmetic number, because the mean of its divisors is an integer number (5685276).

Almost surely, 2141098800 is an apocalyptic number.

141098800 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 141098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170558280).

141098800 is an abundant number, since it is smaller than the sum of its proper divisors (200017760).

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

141098800 is a wasteful number, since it uses less digits than its factorization.

141098800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 141098800 is about 11878.5015890052. The cubic root of 141098800 is about 520.6043269847.

The spelling of 141098800 in words is "one hundred forty-one million, ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 692 865 1384 1730 2039 2768 3460 4078 4325 6920 8156 8650 10195 13840 16312 17300 20390 32624 34600 40780 50975 69200 81560 101950 163120 203900 352747 407800 705494 815600 1410988 1763735 2821976 3527470 5643952 7054940 8818675 14109880 17637350 28219760 35274700 70549400 141098800