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136003032 = 233211267233
BaseRepresentation
bin10000001101100…
…11110111011000
3100110220200002100
420012303313120
5234304044112
621255003400
73241002204
oct1006636730
9313820070
10136003032
116a852100
1239669560
132223ac89
14140c3b04
15be172dc
hex81b3dd8

136003032 has 144 divisors (see below), whose sum is σ = 412677720. Its totient is φ = 40423680.

The previous prime is 136003031. The next prime is 136003037. The reversal of 136003032 is 230300631.

It is a happy number.

136003032 is a `hidden beast` number, since 1 + 3 + 600 + 30 + 32 = 666.

136003032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 136002996 and 136003014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136003031) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 583588 + ... + 583820.

Almost surely, 2136003032 is an apocalyptic number.

136003032 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 136003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206338860).

136003032 is an abundant number, since it is smaller than the sum of its proper divisors (276674688).

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

136003032 is a wasteful number, since it uses less digits than its factorization.

136003032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 136003032 is about 11662.0337848936. The cubic root of 136003032 is about 514.2601397335.

Adding to 136003032 its reverse (230300631), we get a palindrome (366303663).

The spelling of 136003032 in words is "one hundred thirty-six million, three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 67 72 88 99 121 132 134 198 201 233 242 264 268 363 396 402 466 484 536 603 699 726 737 792 804 932 968 1089 1206 1398 1452 1474 1608 1864 2097 2178 2211 2412 2563 2796 2904 2948 4194 4356 4422 4824 5126 5592 5896 6633 7689 8107 8388 8712 8844 10252 13266 15378 15611 16214 16776 17688 20504 23067 24321 26532 28193 30756 31222 32428 46134 46833 48642 53064 56386 61512 62444 64856 72963 84579 92268 93666 97284 112772 124888 140499 145926 169158 171721 184536 187332 194568 225544 253737 280998 291852 338316 343442 374664 507474 515163 561996 583704 676632 686884 1014948 1030326 1123992 1373768 1545489 1888931 2029896 2060652 3090978 3777862 4121304 5666793 6181956 7555724 11333586 12363912 15111448 17000379 22667172 34000758 45334344 68001516 136003032