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161864640 = 26325723137
BaseRepresentation
bin10011010010111…
…01101111000000
3102021120120112200
421221131233000
5312414132030
624021153200
74003553400
oct1151355700
9367516480
10161864640
1183406333
124625b800
13276c43c2
14176d6800
15e324d60
hex9a5dbc0

161864640 has 504 divisors, whose sum is σ = 686604672. Its totient is φ = 34836480.

The previous prime is 161864623. The next prime is 161864653. The reversal of 161864640 is 46468161.

161864640 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 6 + 4 + 640 = 666.

161864640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-5 number, since 5×1618646405 (a number of 42 digits) contains 55555 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 161864595 and 161864604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4374702 + ... + 4374738.

Almost surely, 2161864640 is an apocalyptic number.

161864640 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 161864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343302336).

161864640 is an abundant number, since it is smaller than the sum of its proper divisors (524740032).

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

161864640 is a wasteful number, since it uses less digits than its factorization.

161864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 161864640 is about 12722.6035071443. The cubic root of 161864640 is about 544.9843050217.

The spelling of 161864640 in words is "one hundred sixty-one million, eight hundred sixty-four thousand, six hundred forty".