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161142176 = 2513283359
BaseRepresentation
bin10011001101011…
…01010110100000
3102020012212111202
421212231112200
5312223022201
623553500332
73664454156
oct1146552640
9366185452
10161142176
1182a62558
1245b716a8
1327500600
14175893d6
15e230c6b
hex99ad5a0

161142176 has 72 divisors (see below), whose sum is σ = 348636960. Its totient is φ = 73272576.

The previous prime is 161142143. The next prime is 161142187. The reversal of 161142176 is 671241161.

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 11 ways as a sum of consecutive naturals, for example, 448685 + ... + 449043.

It is an arithmetic number, because the mean of its divisors is an integer number (4842180).

Almost surely, 2161142176 is an apocalyptic number.

161142176 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 161142176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174318480).

161142176 is an abundant number, since it is smaller than the sum of its proper divisors (187494784).

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

161142176 is a wasteful number, since it uses less digits than its factorization.

161142176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 457 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 161142176 is about 12694.1788233820. The cubic root of 161142176 is about 544.1722709883.

The spelling of 161142176 in words is "one hundred sixty-one million, one hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 83 104 166 169 208 332 338 359 416 664 676 718 1079 1328 1352 1436 2158 2656 2704 2872 4316 4667 5408 5744 8632 9334 11488 14027 17264 18668 28054 29797 34528 37336 56108 59594 60671 74672 112216 119188 121342 149344 224432 238376 242684 387361 448864 476752 485368 774722 953504 970736 1549444 1941472 3098888 5035693 6197776 10071386 12395552 20142772 40285544 80571088 161142176