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161095680 = 2133251923
BaseRepresentation
bin10011001101000…
…10000000000000
3102020010111201200
421212202000000
5312220030210
623552501200
73664201464
oct1146420000
9366114650
10161095680
1182a30629
1245b4a800
13274b53b5
14175764a4
15e2220c0
hex99a2000

161095680 has 336 divisors, whose sum is σ = 613379520. Its totient is φ = 38928384.

The previous prime is 161095639. The next prime is 161095687. The reversal of 161095680 is 86590161.

It is a super-2 number, since 2×1610956802 = 51903636229324800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161095687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7004149 + ... + 7004171.

Almost surely, 2161095680 is an apocalyptic number.

161095680 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 161095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306689760).

161095680 is an abundant number, since it is smaller than the sum of its proper divisors (452283840).

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

161095680 is a wasteful number, since it uses less digits than its factorization.

161095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 161095680 is about 12692.3473006375. The cubic root of 161095680 is about 544.1199274234.

The spelling of 161095680 in words is "one hundred sixty-one million, ninety-five thousand, six hundred eighty".