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141624028 = 2271321732
BaseRepresentation
bin10000111000100…
…00001011011100
3100212111020122101
420130100023130
5242223432103
622015254444
73336533020
oct1034201334
9325436571
10141624028
1172a41257
123b51a424
1323458600
1414b48380
15c677a1d
hex87102dc

141624028 has 54 divisors (see below), whose sum is σ = 308495544. Its totient is φ = 55703232.

The previous prime is 141624001. The next prime is 141624047. The reversal of 141624028 is 820426141.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 141623987 and 141624005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 818550 + ... + 818722.

Almost surely, 2141624028 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 141624028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154247772).

141624028 is an abundant number, since it is smaller than the sum of its proper divisors (166871516).

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

141624028 is a wasteful number, since it uses less digits than its factorization.

141624028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 141624028 is about 11900.5893971685. The cubic root of 141624028 is about 521.2494952139.

Multiplying 141624028 by its sum of digits (28), we get a square (3965472784 = 629722).

141624028 divided by its sum of digits (28) gives a square (5058001 = 22492).

The spelling of 141624028 in words is "one hundred forty-one million, six hundred twenty-four thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 173 182 338 346 364 676 692 1183 1211 2249 2366 2422 4498 4732 4844 8996 15743 29237 29929 31486 58474 59858 62972 116948 119716 204659 209503 389077 409318 419006 778154 818636 838012 1556308 2723539 5058001 5447078 10116002 10894156 20232004 35406007 70812014 141624028