Search a number
-
+
163362420 = 22345137757
BaseRepresentation
bin10011011110010…
…11011001110100
3102101101200010000
421233023121310
5313310044140
624113231300
74022362164
oct1157133164
9371350100
10163362420
1184239671
1246862530
1327aca070
14179a65a4
15e51da30
hex9bcb674

163362420 has 120 divisors (see below), whose sum is σ = 551966184. Its totient is φ = 40207104.

The previous prime is 163362413. The next prime is 163362431. The reversal of 163362420 is 24263361.

163362420 is a `hidden beast` number, since 1 + 6 + 33 + 624 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14424804 + 148937616 = 3798^2 + 12204^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17182 + ... + 24938.

Almost surely, 2163362420 is an apocalyptic number.

163362420 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 163362420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275983092).

163362420 is an abundant number, since it is smaller than the sum of its proper divisors (388603764).

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

163362420 is a wasteful number, since it uses less digits than its factorization.

163362420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7791 (or 7780 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 163362420 is about 12781.3309166143. The cubic root of 163362420 is about 546.6601121231.

The spelling of 163362420 in words is "one hundred sixty-three million, three hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 7757 10530 15514 21060 23271 31028 38785 46542 69813 77570 93084 100841 116355 139626 155140 201682 209439 232710 279252 302523 349065 403364 418878 465420 504205 605046 628317 698130 837756 907569 1008410 1047195 1210092 1256634 1396260 1512615 1815138 2016820 2094390 2513268 2722707 3025230 3141585 3630276 4188780 4537845 5445414 6050460 6283170 8168121 9075690 10890828 12566340 13613535 16336242 18151380 27227070 32672484 40840605 54454140 81681210 163362420