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141272820 = 223251360373
BaseRepresentation
bin10000110101110…
…10011011110100
3100211211101212200
420122322123310
5242131212240
622003544500
73333541053
oct1032723364
9324741780
10141272820
11728213a7
123b38b130
13233647b0
1414a9639a
15c608930
hex86ba6f4

141272820 has 72 divisors (see below), whose sum is σ = 461498856. Its totient is φ = 34774272.

The previous prime is 141272819. The next prime is 141272851. The reversal of 141272820 is 28272141.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 135908964 = 2316^2 + 11658^2 .

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, 27847 + ... + 32526.

Almost surely, 2141272820 is an apocalyptic number.

141272820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141272820 is an abundant number, since it is smaller than the sum of its proper divisors (320226036).

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

141272820 is a wasteful number, since it uses less digits than its factorization.

141272820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60401 (or 60396 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 141272820 is about 11885.8243298477. The cubic root of 141272820 is about 520.8182630022.

The spelling of 141272820 in words is "one hundred forty-one million, two hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 60373 120746 181119 241492 301865 362238 543357 603730 724476 784849 905595 1086714 1207460 1569698 1811190 2173428 2354547 2716785 3139396 3622380 3924245 4709094 5433570 7063641 7848490 9418188 10867140 11772735 14127282 15696980 23545470 28254564 35318205 47090940 70636410 141272820