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161688436 = 227213233189
BaseRepresentation
bin10011010001100…
…10101101110100
3102021020121211121
421220302231310
5312343012221
624013313324
74002220600
oct1150625564
9367217747
10161688436
11832a5a08
1246195844
1327662140
141768c500
15e2dca41
hex9a32b74

161688436 has 144 divisors (see below), whose sum is σ = 386104320. Its totient is φ = 58544640.

The previous prime is 161688433. The next prime is 161688437. The reversal of 161688436 is 634886161.

It is a happy number.

161688436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1616884362 = 52286300672252192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161688392 and 161688401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161688433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1816680 + ... + 1816768.

It is an arithmetic number, because the mean of its divisors is an integer number (2681280).

Almost surely, 2161688436 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 161688436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193052160).

161688436 is an abundant number, since it is smaller than the sum of its proper divisors (224415884).

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

161688436 is a wasteful number, since it uses less digits than its factorization.

161688436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 165 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 161688436 is about 12715.6767810447. The cubic root of 161688436 is about 544.7864786554.

The spelling of 161688436 in words is "one hundred sixty-one million, six hundred eighty-eight thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 49 52 62 89 91 92 98 124 161 178 182 196 217 299 322 356 364 403 434 598 623 637 644 713 806 868 1127 1157 1196 1246 1274 1426 1519 1612 2047 2093 2254 2314 2492 2548 2759 2821 2852 3038 4094 4186 4361 4508 4628 4991 5518 5642 6076 8099 8188 8372 8722 9269 9982 11036 11284 14329 14651 16198 17444 18538 19313 19747 19964 26611 28658 29302 32396 34937 35867 37076 38626 39494 53222 56693 57316 58604 63457 64883 69874 71734 77252 78988 100303 106444 113386 126914 129766 135191 139748 143468 186277 200606 226772 251069 253828 259532 270382 372554 401212 444199 454181 502138 540764 745108 824941 888398 908362 1004276 1303939 1649882 1757483 1776796 1816724 2607878 3109393 3299764 3514966 5215756 5774587 6218786 7029932 11549174 12437572 23098348 40422109 80844218 161688436