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141420760 = 23513312283
BaseRepresentation
bin10000110110111…
…10100011011000
3100212002220210221
420123132203120
5242200431020
622011045424
73335025265
oct1033364330
9325086727
10141420760
1172912568
123b440874
13233b6c30
1414ad426c
15c6376aa
hex86de8d8

141420760 has 96 divisors (see below), whose sum is σ = 355335120. Its totient is φ = 50353920.

The previous prime is 141420757. The next prime is 141420779. The reversal of 141420760 is 67024141.

141420760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 5213-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499579 + ... + 499861.

Almost surely, 2141420760 is an apocalyptic number.

141420760 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 141420760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177667560).

141420760 is an abundant number, since it is smaller than the sum of its proper divisors (213914360).

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

141420760 is a wasteful number, since it uses less digits than its factorization.

141420760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 141420760 is about 11892.0460813100. The cubic root of 141420760 is about 520.9999987720. Note that the first 5 decimals are identical.

The spelling of 141420760 in words is "one hundred forty-one million, four hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 283 310 403 520 566 620 806 961 1132 1240 1415 1612 1922 2015 2264 2830 3224 3679 3844 4030 4805 5660 7358 7688 8060 8773 9610 11320 12493 14716 16120 17546 18395 19220 24986 29432 35092 36790 38440 43865 49972 62465 70184 73580 87730 99944 114049 124930 147160 175460 228098 249860 271963 350920 456196 499720 543926 570245 912392 1087852 1140490 1359815 2175704 2280980 2719630 3535519 4561960 5439260 7071038 10878520 14142076 17677595 28284152 35355190 70710380 141420760