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141242080 = 2557235483
BaseRepresentation
bin10000110101100…
…10111011100000
3100211202211201011
420122302323200
5242124221310
622003150304
73333352330
oct1032627340
9324684634
10141242080
11728002a1
123b375394
13233537c5
1414a890c0
15c5ee78a
hex86b2ee0

141242080 has 96 divisors (see below), whose sum is σ = 398006784. Its totient is φ = 46311936.

The previous prime is 141242063. The next prime is 141242111. The reversal of 141242080 is 80242141.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23019 + ... + 28501.

It is an arithmetic number, because the mean of its divisors is an integer number (4145904).

Almost surely, 2141242080 is an apocalyptic number.

141242080 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 141242080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199003392).

141242080 is an abundant number, since it is smaller than the sum of its proper divisors (256764704).

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

141242080 is a wasteful number, since it uses less digits than its factorization.

141242080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 141242080 is about 11884.5311224297. The cubic root of 141242080 is about 520.7804847639.

The spelling of 141242080 in words is "one hundred forty-one million, two hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 5483 6440 10966 12880 21932 25760 27415 38381 43864 54830 76762 87728 109660 126109 153524 175456 191905 219320 252218 307048 383810 438640 504436 614096 630545 767620 877280 882763 1008872 1228192 1261090 1535240 1765526 2017744 2522180 3070480 3531052 4035488 4413815 5044360 6140960 7062104 8827630 10088720 14124208 17655260 20177440 28248416 35310520 70621040 141242080