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161655936 = 2731324753
BaseRepresentation
bin10011010001010…
…10110010000000
3102021011222020220
421220222302000
5312340442221
624012503040
74002024051
oct1150526200
9367158226
10161655936
1183283552
124617aa80
1327650400
1417680728
15e2d30c6
hex9a2ac80

161655936 has 192 divisors, whose sum is σ = 483822720. Its totient is φ = 47763456.

The previous prime is 161655931. The next prime is 161655961. The reversal of 161655936 is 639556161.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1616559362 = 52265283288072192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161655931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3050086 + ... + 3050138.

It is an arithmetic number, because the mean of its divisors is an integer number (2519910).

Almost surely, 2161655936 is an apocalyptic number.

161655936 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 161655936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241911360).

161655936 is an abundant number, since it is smaller than the sum of its proper divisors (322166784).

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

161655936 is a wasteful number, since it uses less digits than its factorization.

161655936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its digits is 145800, while the sum is 42.

The square root of 161655936 is about 12714.3987667526. The cubic root of 161655936 is about 544.7499748142.

The spelling of 161655936 in words is "one hundred sixty-one million, six hundred fifty-five thousand, nine hundred thirty-six".