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161040618 = 232192359347
BaseRepresentation
bin10011001100101…
…00100011101010
3102020000201012100
421212110203222
5312211244433
623551354230
73663552114
oct1146244352
9366021170
10161040618
11829a3222
1245b22976
132749630b
14175603b4
15e210b13
hex99948ea

161040618 has 96 divisors (see below), whose sum is σ = 390873600. Its totient is φ = 47681568.

The previous prime is 161040611. The next prime is 161040647. The reversal of 161040618 is 816040161.

161040618 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 40 + 618 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 161040591 and 161040600.

It is not an unprimeable number, because it can be changed into a prime (161040611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463921 + ... + 464267.

It is an arithmetic number, because the mean of its divisors is an integer number (4071600).

Almost surely, 2161040618 is an apocalyptic number.

161040618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161040618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195436800).

161040618 is an abundant number, since it is smaller than the sum of its proper divisors (229832982).

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

161040618 is a wasteful number, since it uses less digits than its factorization.

161040618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 161040618 is about 12690.1780129358. The cubic root of 161040618 is about 544.0579275288.

Adding to 161040618 its reverse (816040161), we get a palindrome (977080779).

The spelling of 161040618 in words is "one hundred sixty-one million, forty thousand, six hundred eighteen".

Divisors: 1 2 3 6 9 18 19 23 38 46 57 59 69 114 118 138 171 177 207 342 347 354 414 437 531 694 874 1041 1062 1121 1311 1357 2082 2242 2622 2714 3123 3363 3933 4071 6246 6593 6726 7866 7981 8142 10089 12213 13186 15962 19779 20178 20473 23943 24426 25783 39558 40946 47886 51566 59337 61419 71829 77349 118674 122838 143658 151639 154698 184257 232047 303278 368514 388987 454917 464094 470879 777974 909834 941758 1166961 1364751 1412637 2333922 2729502 2825274 3500883 4237911 7001766 8475822 8946701 17893402 26840103 53680206 80520309 161040618