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161068032 = 2103217477
BaseRepresentation
bin10011001100110…
…11010000000000
3102020002002210200
421212123100000
5312213134112
623552125200
73664025046
oct1146332000
9366062720
10161068032
1182a11884
1245b36800
13274a5938
141756a396
15e218cdc
hex999b400

161068032 has 66 divisors (see below), whose sum is σ = 465107058. Its totient is φ = 53686272.

The previous prime is 161068009. The next prime is 161068043. The reversal of 161068032 is 230860161.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 57517056 = 10176^2 + 7584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 161067987 and 161068005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 478 + ... + 17954.

Almost surely, 2161068032 is an apocalyptic number.

161068032 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 161068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232553529).

161068032 is an abundant number, since it is smaller than the sum of its proper divisors (304039026).

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

161068032 is a wasteful number, since it uses less digits than its factorization.

161068032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17503 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 161068032 is about 12691.2580936643. The cubic root of 161068032 is about 544.0887975001.

The spelling of 161068032 in words is "one hundred sixty-one million, sixty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 17477 34954 52431 69908 104862 139816 157293 209724 279632 314586 419448 559264 629172 838896 1118528 1258344 1677792 2237056 2516688 3355584 4474112 5033376 6711168 8948224 10066752 13422336 17896448 20133504 26844672 40267008 53689344 80534016 161068032