Search a number
-
+
120532320 = 2533527901
BaseRepresentation
bin1110010111100…
…10110101100000
322101210200021000
413023302311200
5221324013240
615543232000
72662336116
oct713626540
9271720230
10120532320
1162045797
1234448600
131bc822cc
1412017ab6
15a8ad430
hex72f2d60

120532320 has 96 divisors (see below), whose sum is σ = 421878240. Its totient is φ = 32140800.

The previous prime is 120532319. The next prime is 120532331. The reversal of 120532320 is 23235021.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 120532293 and 120532302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9631 + ... + 18270.

It is an arithmetic number, because the mean of its divisors is an integer number (4394565).

Almost surely, 2120532320 is an apocalyptic number.

120532320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120532320 is an abundant number, since it is smaller than the sum of its proper divisors (301345920).

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

120532320 is a wasteful number, since it uses less digits than its factorization.

120532320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27925 (or 27911 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 120532320 is about 10978.7212370112. The cubic root of 120532320 is about 493.9706801811.

Adding to 120532320 its reverse (23235021), we get a palindrome (143767341).

The spelling of 120532320 in words is "one hundred twenty million, five hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 27901 55802 83703 111604 139505 167406 223208 251109 279010 334812 418515 446416 502218 558020 669624 753327 837030 892832 1004436 1116040 1255545 1339248 1506654 1674060 2008872 2232080 2511090 2678496 3013308 3348120 3766635 4017744 4464160 5022180 6026616 6696240 7533270 8035488 10044360 12053232 13392480 15066540 20088720 24106464 30133080 40177440 60266160 120532320