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160541540 = 225171493169
BaseRepresentation
bin10011001000110…
…10101101100100
3102012002100120222
421210122231210
5312044312130
623532543512
73656403065
oct1144325544
9365070528
10160541540
1182692265
1245921b98
13273500c3
141747056c
15e162ce5
hex991ab64

160541540 has 48 divisors (see below), whose sum is σ = 359478000. Its totient is φ = 60014592.

The previous prime is 160541533. The next prime is 160541551. The reversal of 160541540 is 45145061.

It can be written as a sum of positive squares in 8 ways, for example, as 215296 + 160326244 = 464^2 + 12662^2 .

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 15 ways as a sum of consecutive naturals, for example, 49076 + ... + 52244.

It is an arithmetic number, because the mean of its divisors is an integer number (7489125).

Almost surely, 2160541540 is an apocalyptic number.

160541540 is a gapful number since it is divisible by the number (10) 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 160541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179739000).

160541540 is an abundant number, since it is smaller than the sum of its proper divisors (198936460).

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

160541540 is a wasteful number, since it uses less digits than its factorization.

160541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 160541540 is about 12670.4988062823. The cubic root of 160541540 is about 543.4953193189.

The spelling of 160541540 in words is "one hundred sixty million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 596 745 1490 2533 2980 3169 5066 6338 10132 12665 12676 15845 25330 31690 50660 53873 63380 107746 215492 269365 472181 538730 944362 1077460 1888724 2360905 4721810 8027077 9443620 16054154 32108308 40135385 80270770 160541540