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161084096 = 2629229379
BaseRepresentation
bin10011001100111…
…11001011000000
3102020002220211122
421212133023000
5312214142341
623552331412
73664122635
oct1146371300
9366086748
10161084096
1182a22958
1245b43b68
13274b0044
141757218c
15e21d94b
hex999f2c0

161084096 has 56 divisors (see below), whose sum is σ = 332994000. Its totient is φ = 77220864.

The previous prime is 161084089. The next prime is 161084167. The reversal of 161084096 is 690480161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 424835 + ... + 425213.

Almost surely, 2161084096 is an apocalyptic number.

161084096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

161084096 is the 7328-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161084096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166497000).

161084096 is an abundant number, since it is smaller than the sum of its proper divisors (171909904).

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

161084096 is a wasteful number, since it uses less digits than its factorization.

161084096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 161084096 is about 12691.8909544638. The cubic root of 161084096 is about 544.1068849956.

The spelling of 161084096 in words is "one hundred sixty-one million, eighty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 229 232 379 458 464 758 916 928 1516 1832 1856 3032 3664 6064 6641 7328 10991 12128 13282 14656 21982 24256 26564 43964 53128 86791 87928 106256 173582 175856 212512 347164 351712 425024 694328 703424 1388656 2516939 2777312 5033878 5554624 10067756 20135512 40271024 80542048 161084096