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141086220 = 223511241887
BaseRepresentation
bin10000110100011…
…00111000001100
3100211110220220120
420122030320030
5242104224340
621555544540
73332133042
oct1032147014
9324426816
10141086220
1172704190
123b2bb150
13232ca892
1414a48392
15c5bd4d0
hex868ce0c

141086220 has 96 divisors (see below), whose sum is σ = 433230336. Its totient is φ = 34022400.

The previous prime is 141086219. The next prime is 141086227. The reversal of 141086220 is 22680141.

141086220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (141086227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 158617 + ... + 159503.

It is an arithmetic number, because the mean of its divisors is an integer number (4512816).

Almost surely, 2141086220 is an apocalyptic number.

141086220 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 141086220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216615168).

141086220 is an abundant number, since it is smaller than the sum of its proper divisors (292144116).

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

141086220 is a wasteful number, since it uses less digits than its factorization.

141086220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 141086220 is about 11877.9720491336. The cubic root of 141086220 is about 520.5888546181.

The spelling of 141086220 in words is "one hundred forty-one million, eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 241 330 482 660 723 887 964 1205 1446 1774 2410 2651 2661 2892 3548 3615 4435 4820 5302 5322 7230 7953 8870 9757 10604 10644 13255 13305 14460 15906 17740 19514 26510 26610 29271 31812 39028 39765 48785 53020 53220 58542 79530 97570 117084 146355 159060 195140 213767 292710 427534 585420 641301 855068 1068835 1282602 2137670 2351437 2565204 3206505 4275340 4702874 6413010 7054311 9405748 11757185 12826020 14108622 23514370 28217244 35271555 47028740 70543110 141086220