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141540728 = 23719137971
BaseRepresentation
bin10000110111110…
…11110101111000
3100212100000101012
420123323311320
5242213300403
622013413052
73336035120
oct1033736570
9325300335
10141540728
117299470a
123b49a188
1323429714
1414b25c80
15c65ced8
hex86fbd78

141540728 has 64 divisors (see below), whose sum is σ = 321926400. Its totient is φ = 56989440.

The previous prime is 141540719. The next prime is 141540739. The reversal of 141540728 is 827045141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141540694 and 141540703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145283 + ... + 146253.

It is an arithmetic number, because the mean of its divisors is an integer number (5030100).

Almost surely, 2141540728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141540728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160963200).

141540728 is an abundant number, since it is smaller than the sum of its proper divisors (180385672).

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

141540728 is a wasteful number, since it uses less digits than its factorization.

141540728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 141540728 is about 11897.0890557312. The cubic root of 141540728 is about 521.1472795112.

Adding to 141540728 its reverse (827045141), we get a palindrome (968585869).

The spelling of 141540728 in words is "one hundred forty-one million, five hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 137 152 266 274 532 548 959 971 1064 1096 1918 1942 2603 3836 3884 5206 6797 7672 7768 10412 13594 18221 18449 20824 27188 36442 36898 54376 72884 73796 129143 133027 145768 147592 258286 266054 516572 532108 931189 1033144 1064216 1862378 2527513 3724756 5055026 7449512 10110052 17692591 20220104 35385182 70770364 141540728