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161532020 = 225132292713
BaseRepresentation
bin10011010000011…
…00100001110100
3102020221200021102
421220030201310
5312323011040
624010105232
74000666556
oct1150144164
9366850242
10161532020
11831a9441
124611b218
1327608ba0
141764b4d6
15e2ab515
hex9a0c874

161532020 has 48 divisors (see below), whose sum is σ = 367041360. Its totient is φ = 59360256.

The previous prime is 161531983. The next prime is 161532043. The reversal of 161532020 is 20235161.

It can be written as a sum of positive squares in 8 ways, for example, as 16859236 + 144672784 = 4106^2 + 12028^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 161531983 and 161532001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58184 + ... + 60896.

It is an arithmetic number, because the mean of its divisors is an integer number (7646695).

Almost surely, 2161532020 is an apocalyptic number.

161532020 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 161532020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520680).

161532020 is an abundant number, since it is smaller than the sum of its proper divisors (205509340).

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

161532020 is a wasteful number, since it uses less digits than its factorization.

161532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 161532020 is about 12709.5247747506. The cubic root of 161532020 is about 544.6107480611.

Adding to 161532020 its reverse (20235161), we get a palindrome (181767181).

The spelling of 161532020 in words is "one hundred sixty-one million, five hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 229 260 458 916 1145 2290 2713 2977 4580 5426 5954 10852 11908 13565 14885 27130 29770 35269 54260 59540 70538 141076 176345 352690 621277 705380 1242554 2485108 3106385 6212770 8076601 12425540 16153202 32306404 40383005 80766010 161532020