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141114060 = 223256711701
BaseRepresentation
bin10000110100100…
…11101011001100
3100211112100002200
420122103223030
5242111122220
622000321500
73332310153
oct1032235314
9324470080
10141114060
117272309a
123b313290
132330a459
1414a5459a
15c5c6890
hex8693acc

141114060 has 72 divisors (see below), whose sum is σ = 434471856. Its totient is φ = 37065600.

The previous prime is 141114031. The next prime is 141114067. The reversal of 141114060 is 60411141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (141114067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6210 + ... + 17910.

Almost surely, 2141114060 is an apocalyptic number.

141114060 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 141114060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217235928).

141114060 is an abundant number, since it is smaller than the sum of its proper divisors (293357796).

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

141114060 is a wasteful number, since it uses less digits than its factorization.

141114060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11783 (or 11778 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 141114060 is about 11879.1439085483. The cubic root of 141114060 is about 520.6230942968.

The spelling of 141114060 in words is "one hundred forty-one million, one hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 11701 12060 23402 35103 46804 58505 70206 105309 117010 140412 175515 210618 234020 351030 421236 526545 702060 783967 1053090 1567934 2106180 2351901 3135868 3919835 4703802 7055703 7839670 9407604 11759505 14111406 15679340 23519010 28222812 35278515 47038020 70557030 141114060