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141274380 = 223513712551
BaseRepresentation
bin10000110101110…
…10110100001100
3100211211111000110
420122322310030
5242131240010
622004000020
73333545442
oct1032726414
9324744013
10141274380
1172822595
123b390010
1323365410
1414a96b92
15c609120
hex86bad0c

141274380 has 96 divisors (see below), whose sum is σ = 432165888. Its totient is φ = 34272000.

The previous prime is 141274363. The next prime is 141274381. The reversal of 141274380 is 83472141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (141274381) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 54105 + ... + 56655.

It is an arithmetic number, because the mean of its divisors is an integer number (4501728).

Almost surely, 2141274380 is an apocalyptic number.

141274380 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 141274380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216082944).

141274380 is an abundant number, since it is smaller than the sum of its proper divisors (290891508).

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

141274380 is a wasteful number, since it uses less digits than its factorization.

141274380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 141274380 is about 11885.8899540590. The cubic root of 141274380 is about 520.8201800340.

The spelling of 141274380 in words is "one hundred forty-one million, two hundred seventy-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 71 78 130 142 156 195 213 260 284 355 390 426 710 780 852 923 1065 1420 1846 2130 2551 2769 3692 4260 4615 5102 5538 7653 9230 10204 11076 12755 13845 15306 18460 25510 27690 30612 33163 38265 51020 55380 66326 76530 99489 132652 153060 165815 181121 198978 331630 362242 397956 497445 543363 663260 724484 905605 994890 1086726 1811210 1989780 2173452 2354573 2716815 3622420 4709146 5433630 7063719 9418292 10867260 11772865 14127438 23545730 28254876 35318595 47091460 70637190 141274380