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161152146 = 23317349503
BaseRepresentation
bin10011001101011…
…11110010010010
3102020020101012000
421212233302102
5312223332041
623554014430
73664525221
oct1146576222
9366211160
10161152146
1182a69aa1
1245b77416
1327504ccc
141758ccb8
15e233bb6
hex99afc92

161152146 has 64 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 50312448.

The previous prime is 161152133. The next prime is 161152153. The reversal of 161152146 is 641251161.

161152146 is a `hidden beast` number, since 1 + 611 + 5 + 2 + 1 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320131 + ... + 320633.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2161152146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161152146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

161152146 is an abundant number, since it is smaller than the sum of its proper divisors (219871854).

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

161152146 is a wasteful number, since it uses less digits than its factorization.

161152146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 874 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 161152146 is about 12694.5715169910. The cubic root of 161152146 is about 544.1834935533.

The spelling of 161152146 in words is "one hundred sixty-one million, one hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 349 459 503 698 918 1006 1047 1509 2094 3018 3141 4527 5933 6282 8551 9054 9423 11866 13581 17102 17799 18846 25653 27162 35598 51306 53397 76959 106794 153918 160191 175547 230877 320382 351094 461754 526641 1053282 1579923 2984299 3159846 4739769 5968598 8952897 9479538 17905794 26858691 53717382 80576073 161152146