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141367980 = 223513199539
BaseRepresentation
bin10000110110100…
…01101010101100
3100212000020102010
420123101222230
5242142233410
622010001220
73334415355
oct1033215254
9325006363
10141367980
1172886946
123b416210
1323398bc0
1414abcd2c
15c626c20
hex86d1aac

141367980 has 96 divisors (see below), whose sum is σ = 448761600. Its totient is φ = 32963328.

The previous prime is 141367979. The next prime is 141367991. The reversal of 141367980 is 89763141.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 10051 + ... + 19589.

It is an arithmetic number, because the mean of its divisors is an integer number (4674600).

Almost surely, 2141367980 is an apocalyptic number.

141367980 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 141367980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224380800).

141367980 is an abundant number, since it is smaller than the sum of its proper divisors (307393620).

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

141367980 is a wasteful number, since it uses less digits than its factorization.

141367980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9583 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 141367980 is about 11889.8267439017. The cubic root of 141367980 is about 520.9351761308.

The spelling of 141367980 in words is "one hundred forty-one million, three hundred sixty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 9539 14820 19078 28617 38156 47695 57234 95390 114468 124007 143085 181241 190780 248014 286170 362482 372021 496028 543723 572340 620035 724964 744042 906205 1087446 1240070 1488084 1812410 1860105 2174892 2356133 2480140 2718615 3624820 3720210 4712266 5437230 7068399 7440420 9424532 10874460 11780665 14136798 23561330 28273596 35341995 47122660 70683990 141367980