Search a number
-
+
141514360 = 23513713833
BaseRepresentation
bin10000110111101…
…01011001111000
3100212021200012121
420123311121320
5242211424420
622013051024
73335565211
oct1033653170
9325250177
10141514360
1172976919
123b486a74
132341a710
1414b1a408
15c6552aa
hex86f5678

141514360 has 64 divisors (see below), whose sum is σ = 347820480. Its totient is φ = 51502080.

The previous prime is 141514343. The next prime is 141514363. The reversal of 141514360 is 63415141.

141514360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141514363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35004 + ... + 38836.

It is an arithmetic number, because the mean of its divisors is an integer number (5434695).

Almost surely, 2141514360 is an apocalyptic number.

141514360 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 141514360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173910240).

141514360 is an abundant number, since it is smaller than the sum of its proper divisors (206306120).

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

141514360 is a wasteful number, since it uses less digits than its factorization.

141514360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3928 (or 3924 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 141514360 is about 11895.9808338783. The cubic root of 141514360 is about 521.1149155288.

The spelling of 141514360 in words is "one hundred forty-one million, five hundred fourteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 71 104 130 142 260 284 355 520 568 710 923 1420 1846 2840 3692 3833 4615 7384 7666 9230 15332 18460 19165 30664 36920 38330 49829 76660 99658 153320 199316 249145 272143 398632 498290 544286 996580 1088572 1360715 1993160 2177144 2721430 3537859 5442860 7075718 10885720 14151436 17689295 28302872 35378590 70757180 141514360