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131559428 = 2271121329103
BaseRepresentation
bin1111101011101…
…11000000000100
3100011112220121102
413311313000010
5232134400203
621015435232
73155144120
oct765670004
9304486542
10131559428
1168297600
1238085b18
1321343520
1413688580
15b83a888
hex7d77004

131559428 has 144 divisors (see below), whose sum is σ = 325328640. Its totient is φ = 45239040.

The previous prime is 131559377. The next prime is 131559433. The reversal of 131559428 is 824955131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131559391 and 131559400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1277225 + ... + 1277327.

Almost surely, 2131559428 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 131559428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162664320).

131559428 is an abundant number, since it is smaller than the sum of its proper divisors (193769212).

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

131559428 is a wasteful number, since it uses less digits than its factorization.

131559428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its digits is 43200, while the sum is 38.

The square root of 131559428 is about 11469.9358324273. The cubic root of 131559428 is about 508.5972319496.

The spelling of 131559428 in words is "one hundred thirty-one million, five hundred fifty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 103 116 121 143 154 182 203 206 242 286 308 319 364 377 406 412 484 572 638 721 754 812 847 1001 1133 1276 1339 1442 1508 1573 1694 2002 2233 2266 2639 2678 2884 2987 3146 3388 3509 4004 4147 4466 4532 5278 5356 5974 6292 7018 7931 8294 8932 9373 10556 11011 11948 12463 14036 14729 15862 16588 18746 20909 22022 24563 24926 29029 29458 31724 32857 37492 38831 41818 44044 45617 49126 49852 58058 58916 65714 77662 83636 87241 91234 98252 103103 116116 131428 155324 162019 174482 182468 206206 229999 271817 319319 324038 348964 361427 412412 427141 459998 543634 638638 648076 722854 854282 919996 1087268 1134133 1277276 1445708 1708564 2268266 2529989 2989987 4536532 4698551 5059978 5979974 9397102 10119956 11959948 18794204 32889857 65779714 131559428