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161327840 = 2551138923
BaseRepresentation
bin10011001110110…
…10101011100000
3102020120022012012
421213122223200
5312244442330
624001452052
73666156362
oct1147325340
9366508165
10161327840
1183079aa3
1246041028
1327566c7b
14175d6d32
15e26ac95
hex99daae0

161327840 has 48 divisors (see below), whose sum is σ = 384553008. Its totient is φ = 63952896.

The previous prime is 161327821. The next prime is 161327849. The reversal of 161327840 is 48723161.

161327840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 161327797 and 161327806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161327849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13619 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (8011521).

Almost surely, 2161327840 is an apocalyptic number.

161327840 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 161327840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192276504).

161327840 is an abundant number, since it is smaller than the sum of its proper divisors (223225168).

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

161327840 is a wasteful number, since it uses less digits than its factorization.

161327840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9051 (or 9043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 161327840 is about 12701.4896764120. The cubic root of 161327840 is about 544.3811846842.

The spelling of 161327840 in words is "one hundred sixty-one million, three hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 8923 9040 17846 18080 35692 44615 71384 89230 142768 178460 285536 356920 713840 1008299 1427680 2016598 4033196 5041495 8066392 10082990 16132784 20165980 32265568 40331960 80663920 161327840