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141054030 = 232513313889
BaseRepresentation
bin10000110100001…
…01000001001110
3100211102021202100
420122011001032
5242102212110
621555135530
73331640145
oct1032050116
9324367670
10141054030
1172691a87
123b2a45a6
13232b9030
1414a3a75c
15c5b3bc0
hex868504e

141054030 has 96 divisors (see below), whose sum is σ = 407796480. Its totient is φ = 33592320.

The previous prime is 141054029. The next prime is 141054037. The reversal of 141054030 is 30450141.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 141053994 and 141054012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141054037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34326 + ... + 38214.

It is an arithmetic number, because the mean of its divisors is an integer number (4247880).

Almost surely, 2141054030 is an apocalyptic number.

141054030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141054030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203898240).

141054030 is an abundant number, since it is smaller than the sum of its proper divisors (266742450).

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

141054030 is a wasteful number, since it uses less digits than its factorization.

141054030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 141054030 is about 11876.6169425472. The cubic root of 141054030 is about 520.5492593742.

The spelling of 141054030 in words is "one hundred forty-one million, fifty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 31 39 45 62 65 78 90 93 117 130 155 186 195 234 279 310 390 403 465 558 585 806 930 1170 1209 1395 2015 2418 2790 3627 3889 4030 6045 7254 7778 11667 12090 18135 19445 23334 35001 36270 38890 50557 58335 70002 101114 116670 120559 151671 175005 241118 252785 303342 350010 361677 455013 505570 602795 723354 758355 910026 1085031 1205590 1516710 1567267 1808385 2170062 2275065 3134534 3616770 4550130 4701801 5425155 7836335 9403602 10850310 14105403 15672670 23509005 28210806 47018010 70527015 141054030