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141270192 = 24327269521
BaseRepresentation
bin10000110101110…
…01110010110000
3100211211021021100
420122321302300
5242131121232
622003524400
73333530310
oct1032716260
9324737240
10141270192
117281a428
123b389700
132336353b
1414a95440
15c607c7c
hex86b9cb0

141270192 has 120 divisors (see below), whose sum is σ = 454390560. Its totient is φ = 40135680.

The previous prime is 141270169. The next prime is 141270229. The reversal of 141270192 is 291072141.

It is an unprimeable number.

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, 270892 + ... + 271412.

It is an arithmetic number, because the mean of its divisors is an integer number (3786588).

Almost surely, 2141270192 is an apocalyptic number.

141270192 is a gapful number since it is divisible by the number (12) 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 141270192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227195280).

141270192 is an abundant number, since it is smaller than the sum of its proper divisors (313120368).

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

141270192 is a wasteful number, since it uses less digits than its factorization.

141270192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 141270192 is about 11885.7137774725. The cubic root of 141270192 is about 520.8150335089.

The spelling of 141270192 in words is "one hundred forty-one million, two hundred seventy thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 269 336 504 521 538 807 1008 1042 1076 1563 1614 1883 2084 2152 2421 3126 3228 3647 3766 4168 4304 4689 4842 5649 6252 6456 7294 7532 8336 9378 9684 10941 11298 12504 12912 14588 15064 16947 18756 19368 21882 22596 25008 29176 30128 32823 33894 37512 38736 43764 45192 58352 65646 67788 75024 87528 90384 131292 135576 140149 175056 262584 271152 280298 420447 525168 560596 840894 981043 1121192 1261341 1681788 1962086 2242384 2522682 2943129 3363576 3924172 5045364 5886258 6727152 7848344 8829387 10090728 11772516 15696688 17658774 20181456 23545032 35317548 47090064 70635096 141270192