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141153320 = 23572116547
BaseRepresentation
bin10000110100111…
…01010000101000
3100211121022221202
420122131100220
5242113401240
622001223332
73332532500
oct1032352050
9324538852
10141153320
117274a640
123b331b48
1323322299
1414a64a00
15c5d3315
hex869d428

141153320 has 96 divisors (see below), whose sum is σ = 403094880. Its totient is φ = 43989120.

The previous prime is 141153317. The next prime is 141153347. The reversal of 141153320 is 23351141.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141153292 and 141153301.

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 23 ways as a sum of consecutive naturals, for example, 18287 + ... + 24833.

It is an arithmetic number, because the mean of its divisors is an integer number (4198905).

Almost surely, 2141153320 is an apocalyptic number.

141153320 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 141153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201547440).

141153320 is an abundant number, since it is smaller than the sum of its proper divisors (261941560).

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

141153320 is a wasteful number, since it uses less digits than its factorization.

141153320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6583 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 141153320 is about 11880.7962696109. The cubic root of 141153320 is about 520.6713714787.

The spelling of 141153320 in words is "one hundred forty-one million, one hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 385 392 440 490 539 616 770 980 1078 1540 1960 2156 2695 3080 4312 5390 6547 10780 13094 21560 26188 32735 45829 52376 65470 72017 91658 130940 144034 183316 229145 261880 288068 320803 360085 366632 458290 504119 576136 641606 720170 916580 1008238 1283212 1440340 1604015 1833160 2016476 2520595 2566424 2880680 3208030 3528833 4032952 5041190 6416060 7057666 10082380 12832120 14115332 17644165 20164760 28230664 35288330 70576660 141153320