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160152642 = 232134116693
BaseRepresentation
bin10011000101110…
…11110001000010
3102011100121010100
421202323301002
5311444341032
623520343230
73653163216
oct1142736102
9364317110
10160152642
1182447061
1245774b16
13272450a0
14173ac946
15e0d797c
hex98bbc42

160152642 has 48 divisors (see below), whose sum is σ = 382826808. Its totient is φ = 48072960.

The previous prime is 160152637. The next prime is 160152649. The reversal of 160152642 is 246251061.

160152642 is a `hidden beast` number, since 1 + 6 + 0 + 15 + 2 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29713401 + 130439241 = 5451^2 + 11421^2 .

It is not an unprimeable number, because it can be changed into a prime (160152649) 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 23 ways as a sum of consecutive naturals, for example, 1248 + ... + 17940.

Almost surely, 2160152642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160152642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191413404).

160152642 is an abundant number, since it is smaller than the sum of its proper divisors (222674166).

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

160152642 is a wasteful number, since it uses less digits than its factorization.

160152642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16755 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 160152642 is about 12655.1429071346. The cubic root of 160152642 is about 543.0561076705.

The spelling of 160152642 in words is "one hundred sixty million, one hundred fifty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 16693 33386 50079 100158 150237 217009 300474 434018 651027 684413 1302054 1368826 1953081 2053239 3906162 4106478 6159717 8897369 12319434 17794738 26692107 53384214 80076321 160152642