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161314176 = 2731992111
BaseRepresentation
bin10011001110101…
…11010110000000
3102020112121110010
421213113112000
5312244023201
624001304520
73666101502
oct1147272600
9366477403
10161314176
118306a801
1246035140
132756099a
14175d1d72
15e266bd6
hex99d7580

161314176 has 64 divisors (see below), whose sum is σ = 430848000. Its totient is φ = 53475840.

The previous prime is 161314147. The next prime is 161314177. The reversal of 161314176 is 671413161.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161314177) by changing a digit.

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, 75361 + ... + 77471.

It is an arithmetic number, because the mean of its divisors is an integer number (6732000).

Almost surely, 2161314176 is an apocalyptic number.

161314176 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 161314176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215424000).

161314176 is an abundant number, since it is smaller than the sum of its proper divisors (269533824).

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

161314176 is a wasteful number, since it uses less digits than its factorization.

161314176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2315 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 161314176 is about 12700.9517753592. The cubic root of 161314176 is about 544.3658150813.

The spelling of 161314176 in words is "one hundred sixty-one million, three hundred fourteen thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 2111 2388 3184 4222 4776 6333 6368 8444 9552 12666 12736 16888 19104 25332 25472 33776 38208 50664 67552 76416 101328 135104 202656 270208 405312 420089 810624 840178 1260267 1680356 2520534 3360712 5041068 6721424 10082136 13442848 20164272 26885696 40328544 53771392 80657088 161314176