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141525540 = 2232513311951
BaseRepresentation
bin10000110111110…
…00001000100100
3100212022020112200
420123320020210
5242212304130
622013214500
73335642622
oct1033701044
9325266480
10141525540
1172984262
123b491430
1323422830
1414b20512
15c658760
hex86f8224

141525540 has 144 divisors (see below), whose sum is σ = 477474816. Its totient is φ = 33696000.

The previous prime is 141525533. The next prime is 141525557. The reversal of 141525540 is 45525141.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71565 + ... + 73515.

Almost surely, 2141525540 is an apocalyptic number.

141525540 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 141525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238737408).

141525540 is an abundant number, since it is smaller than the sum of its proper divisors (335949276).

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

141525540 is a wasteful number, since it uses less digits than its factorization.

141525540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 141525540 is about 11896.4507312055. The cubic root of 141525540 is about 521.1286383089.

The spelling of 141525540 in words is "one hundred forty-one million, five hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 31 36 39 45 52 60 62 65 78 90 93 117 124 130 155 156 180 186 195 234 260 279 310 372 390 403 465 468 558 585 620 780 806 930 1116 1170 1209 1395 1612 1860 1951 2015 2340 2418 2790 3627 3902 4030 4836 5580 5853 6045 7254 7804 8060 9755 11706 12090 14508 17559 18135 19510 23412 24180 25363 29265 35118 36270 39020 50726 58530 60481 70236 72540 76089 87795 101452 117060 120962 126815 152178 175590 181443 228267 241924 253630 302405 304356 351180 362886 380445 456534 507260 544329 604810 725772 760890 786253 907215 913068 1088658 1141335 1209620 1521780 1572506 1814430 2177316 2282670 2358759 2721645 3145012 3628860 3931265 4565340 4717518 5443290 7076277 7862530 9435036 10886580 11793795 14152554 15725060 23587590 28305108 35381385 47175180 70762770 141525540