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160464420 = 223251735153
BaseRepresentation
bin10011001000001…
…11111000100100
3102011221102210200
421210013320210
5312034330140
623531150500
73655632204
oct1144077044
9364842720
10160464420
118263a326
12458a5430
1327323c7c
1417450404
15e14a030
hex9907e24

160464420 has 72 divisors (see below), whose sum is σ = 489650616. Its totient is φ = 42534912.

The previous prime is 160464413. The next prime is 160464427. The reversal of 160464420 is 24464061.

160464420 is a `hidden beast` number, since 16 + 0 + 4 + 644 + 2 + 0 = 666.

160464420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (160464413) and next prime (160464427).

It can be written as a sum of positive squares in 4 ways, for example, as 55442916 + 105021504 = 7446^2 + 10248^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160464427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28564 + ... + 33716.

It is an arithmetic number, because the mean of its divisors is an integer number (6800703).

Almost surely, 2160464420 is an apocalyptic number.

160464420 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 160464420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244825308).

160464420 is an abundant number, since it is smaller than the sum of its proper divisors (329186196).

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

160464420 is a wasteful number, since it uses less digits than its factorization.

160464420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5341 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 160464420 is about 12667.4551508975. The cubic root of 160464420 is about 543.4082783526.

The spelling of 160464420 in words is "one hundred sixty million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 173 180 346 519 692 865 1038 1557 1730 2076 2595 3114 3460 5153 5190 6228 7785 10306 10380 15459 15570 20612 25765 30918 31140 46377 51530 61836 77295 92754 103060 154590 185508 231885 309180 463770 891469 927540 1782938 2674407 3565876 4457345 5348814 8023221 8914690 10697628 13372035 16046442 17829380 26744070 32092884 40116105 53488140 80232210 160464420