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161643132 = 22327641441
BaseRepresentation
bin10011010001001…
…11101001111100
3102021011022200200
421220213221330
5312340040012
624012323500
74001641530
oct1150475174
9367138620
10161643132
1183274972
1246173590
1327647631
1417679bc0
15e2ce3dc
hex9a27a7c

161643132 has 36 divisors (see below), whose sum is σ = 466969776. Its totient is φ = 46183680.

The previous prime is 161643059. The next prime is 161643133. The reversal of 161643132 is 231346161.

161643132 is a `hidden beast` number, since 1 + 6 + 1 + 643 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1616431322 = 52257004245538848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 161643096 and 161643105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161643133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320469 + ... + 320972.

Almost surely, 2161643132 is an apocalyptic number.

161643132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

161643132 is an abundant number, since it is smaller than the sum of its proper divisors (305326644).

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

161643132 is a wasteful number, since it uses less digits than its factorization.

161643132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641458 (or 641453 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 161643132 is about 12713.8952331691. The cubic root of 161643132 is about 544.7355920805.

Adding to 161643132 its reverse (231346161), we get a palindrome (392989293).

The spelling of 161643132 in words is "one hundred sixty-one million, six hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 641441 1282882 1924323 2565764 3848646 4490087 5772969 7697292 8980174 11545938 13470261 17960348 23091876 26940522 40410783 53881044 80821566 161643132