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161680680 = 23325783773
BaseRepresentation
bin10011010001100…
…00110100101000
3102021020020012100
421220300310220
5312342240210
624013213400
74002156150
oct1150606450
9367206170
10161680680
11832a00a7
1246191260
132765b755
1417689760
15e2da5c0
hex9a30d28

161680680 has 192 divisors, whose sum is σ = 608549760. Its totient is φ = 36463104.

The previous prime is 161680669. The next prime is 161680697. The reversal of 161680680 is 86086161.

It is a super-2 number, since 2×1616806802 = 52281284570524800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 208774 + ... + 209546.

It is an arithmetic number, because the mean of its divisors is an integer number (3169530).

Almost surely, 2161680680 is an apocalyptic number.

161680680 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 161680680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304274880).

161680680 is an abundant number, since it is smaller than the sum of its proper divisors (446869080).

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

161680680 is a wasteful number, since it uses less digits than its factorization.

161680680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 161680680 is about 12715.3717995189. The cubic root of 161680680 is about 544.7777675985. Note that the first 4 decimals are identical.

The spelling of 161680680 in words is "one hundred sixty-one million, six hundred eighty thousand, six hundred eighty".