Search a number
-
+
141520032 = 25323831283
BaseRepresentation
bin10000110111101…
…10110010100000
3100212021221222200
420123312302200
5242212120112
622013133200
73335620563
oct1033666240
9325257880
10141520032
1172980105
123b48a200
1323420184
1414b1c4da
15c656cdc
hex86f6ca0

141520032 has 72 divisors (see below), whose sum is σ = 403812864. Its totient is φ = 47013504.

The previous prime is 141520031. The next prime is 141520033. The reversal of 141520032 is 230025141.

141520032 is a `hidden beast` number, since 141 + 520 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (141520031) and next prime (141520033).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 141519987 and 141520014.

It is not an unprimeable number, because it can be changed into a prime (141520031) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 109663 + ... + 110945.

It is an arithmetic number, because the mean of its divisors is an integer number (5608512).

Almost surely, 2141520032 is an apocalyptic number.

141520032 is a gapful number since it is divisible by the number (12) 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 141520032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201906432).

141520032 is an abundant number, since it is smaller than the sum of its proper divisors (262292832).

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

141520032 is a wasteful number, since it uses less digits than its factorization.

141520032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1671 counting only the distinct ones).

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

The square root of 141520032 is about 11896.2192313356. The cubic root of 141520032 is about 521.1218776593.

Adding to 141520032 its reverse (230025141), we get a palindrome (371545173).

The spelling of 141520032 in words is "one hundred forty-one million, five hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 383 766 1149 1283 1532 2298 2566 3064 3447 3849 4596 5132 6128 6894 7698 9192 10264 11547 12256 13788 15396 18384 20528 23094 27576 30792 36768 41056 46188 55152 61584 92376 110304 123168 184752 369504 491389 982778 1474167 1965556 2948334 3931112 4422501 5896668 7862224 8845002 11793336 15724448 17690004 23586672 35380008 47173344 70760016 141520032