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141728652 = 223213319769
BaseRepresentation
bin10000111001010…
…01101110001100
3100212200120011100
420130221232030
5242240304102
622021423100
73340450032
oct1034515614
9325616140
10141728652
117300291a
123b56aa90
1323494110
1414b74552
15c698a1c
hex8729b8c

141728652 has 72 divisors (see below), whose sum is σ = 398303360. Its totient is φ = 42197760.

The previous prime is 141728627. The next prime is 141728687. The reversal of 141728652 is 256827141.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9624 + ... + 19392.

Almost surely, 2141728652 is an apocalyptic number.

141728652 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 141728652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199151680).

141728652 is an abundant number, since it is smaller than the sum of its proper divisors (256574708).

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

141728652 is a wasteful number, since it uses less digits than its factorization.

141728652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9818 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 141728652 is about 11904.9843343030. The cubic root of 141728652 is about 521.3778203865.

The spelling of 141728652 in words is "one hundred forty-one million, seven hundred twenty-eight thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 9769 14508 19538 29307 39076 58614 87921 117228 126997 175842 253994 302839 351684 380991 507988 605678 761982 908517 1142973 1211356 1523964 1817034 2285946 2725551 3634068 3936907 4571892 5451102 7873814 10902204 11810721 15747628 23621442 35432163 47242884 70864326 141728652