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232060320 = 25325295557
BaseRepresentation
bin11011101010011…
…11010110100000
3121011122212220200
431311033112200
5433401412240
635005505200
75515323462
oct1565172640
9534585820
10232060320
11109aa0398
1265872200
1339100ccb
1422b6a132
151558d930
hexdd4f5a0

232060320 has 144 divisors (see below), whose sum is σ = 819360360. Its totient is φ = 59738112.

The previous prime is 232060307. The next prime is 232060321. The reversal of 232060320 is 23060232.

232060320 is a `hidden beast` number, since 23 + 20 + 603 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224640144 + 7420176 = 14988^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232060293 and 232060302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232060321) 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, 38982 + ... + 44538.

Almost surely, 2232060320 is an apocalyptic number.

232060320 is a gapful number since it is divisible by the number (20) 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 232060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409680180).

232060320 is an abundant number, since it is smaller than the sum of its proper divisors (587300040).

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

232060320 is a wasteful number, since it uses less digits than its factorization.

232060320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232060320 is about 15233.5261840455. The cubic root of 232060320 is about 614.5166140142.

The spelling of 232060320 in words is "two hundred thirty-two million, sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 5557 6960 8352 10440 11114 13920 16671 20880 22228 27785 33342 41760 44456 50013 55570 66684 83355 88912 100026 111140 133368 161153 166710 177824 200052 222280 250065 266736 322306 333420 400104 444560 483459 500130 533472 644612 666840 800208 805765 889120 966918 1000260 1289224 1333680 1450377 1600416 1611530 1933836 2000520 2417295 2578448 2667360 2900754 3223060 3867672 4001040 4834590 5156896 5801508 6446120 7251885 7735344 8002080 9669180 11603016 12892240 14503770 15470688 19338360 23206032 25784480 29007540 38676720 46412064 58015080 77353440 116030160 232060320