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141120 = 2632572
BaseRepresentation
bin100010011101000000
321011120200
4202131000
514003440
63005200
71125300
oct423500
9234520
10141120
1197031
1269800
134c305
1439600
152bc30
hex22740

141120 has 126 divisors (see below), whose sum is σ = 564642. Its totient is φ = 32256.

The previous prime is 141107. The next prime is 141121. The reversal of 141120 is 21141.

Adding to 141120 its reverse (21141), we get a palindrome (162261).

It can be divided in two parts, 1411 and 20, that added together give a triangular number (1431 = T53).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 28224 = 336^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20157 + ... + 20163.

2141120 is an apocalyptic number.

141120 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 141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282321).

141120 is an abundant number, since it is smaller than the sum of its proper divisors (423522).

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

141120 is a wasteful number, since it uses less digits than its factorization.

141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 141120 is about 375.6594202200. The cubic root of 141120 is about 52.0630399163.

The spelling of 141120 in words is "one hundred forty-one thousand, one hundred twenty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 192 196 210 224 240 245 252 280 288 294 315 320 336 360 392 420 441 448 480 490 504 560 576 588 630 672 720 735 784 840 882 960 980 1008 1120 1176 1260 1344 1440 1470 1568 1680 1764 1960 2016 2205 2240 2352 2520 2880 2940 3136 3360 3528 3920 4032 4410 4704 5040 5880 6720 7056 7840 8820 9408 10080 11760 14112 15680 17640 20160 23520 28224 35280 47040 70560 141120