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161030144 = 213111787
BaseRepresentation
bin10011001100100…
…10000000000000
3102020000011211102
421212102000000
5312210431034
623551233532
73663506432
oct1146220000
9366004742
10161030144
1182996370
1245b188a8
1327491612
141755a652
15e20c97e
hex9992000

161030144 has 56 divisors (see below), whose sum is σ = 351513648. Its totient is φ = 73154560.

The previous prime is 161030101. The next prime is 161030173. The reversal of 161030144 is 441030161.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 89219 + ... + 91005.

Almost surely, 2161030144 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 161030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175756824).

161030144 is an abundant number, since it is smaller than the sum of its proper divisors (190483504).

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

161030144 is an equidigital number, since it uses as much as digits as its factorization.

161030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 161030144 is about 12689.7653248592. The cubic root of 161030144 is about 544.0461321893.

The spelling of 161030144 in words is "one hundred sixty-one million, thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 1787 2048 2816 3574 4096 5632 7148 8192 11264 14296 19657 22528 28592 39314 45056 57184 78628 90112 114368 157256 228736 314512 457472 629024 914944 1258048 1829888 2516096 3659776 5032192 7319552 10064384 14639104 20128768 40257536 80515072 161030144