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160109136 = 24341121021
BaseRepresentation
bin10011000101100…
…01001001010000
3102011021101110000
421202301021100
5311441443021
623515410000
73652622325
oct1142611120
9364241400
10160109136
1182417400
1245753900
132722b345
141739ab4c
15e0c9b26
hex98b1250

160109136 has 150 divisors (see below), whose sum is σ = 509858426. Its totient is φ = 48470400.

The previous prime is 160109123. The next prime is 160109153. The reversal of 160109136 is 631901061.

It can be written as a sum of positive squares in only one way, i.e., 141134400 + 18974736 = 11880^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156306 + ... + 157326.

Almost surely, 2160109136 is an apocalyptic number.

160109136 is a gapful number since it is divisible by the number (16) 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 160109136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254929213).

160109136 is an abundant number, since it is smaller than the sum of its proper divisors (349749290).

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

160109136 is a wasteful number, since it uses less digits than its factorization.

160109136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 160109136 is about 12653.4238844670. The cubic root of 160109136 is about 543.0069288820.

The spelling of 160109136 in words is "one hundred sixty million, one hundred nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1021 1089 1188 1296 1452 1584 1782 1936 2042 2178 2376 2904 3063 3267 3564 4084 4356 4752 5808 6126 6534 7128 8168 8712 9189 9801 11231 12252 13068 14256 16336 17424 18378 19602 22462 24504 26136 27567 33693 36756 39204 44924 49008 52272 55134 67386 73512 78408 82701 89848 101079 110268 123541 134772 147024 156816 165402 179696 202158 220536 247082 269544 303237 330804 370623 404316 441072 494164 539088 606474 661608 741246 808632 909711 988328 1111869 1212948 1323216 1482492 1617264 1819422 1976656 2223738 2425896 2964984 3335607 3638844 4447476 4851792 5929968 6671214 7277688 8894952 10006821 13342428 14555376 17789904 20013642 26684856 40027284 53369712 80054568 160109136