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452130660 = 22355313001
BaseRepresentation
bin11010111100101…
…111011101100100
31011111202121200000
4122330233131210
51411221140120
6112510421300
714130022122
oct3274573544
91144677600
10452130660
11212241503
12107501830
1372894747
1444094912
1529a5e990
hex1af2f764

452130660 has 144 divisors (see below), whose sum is σ = 1468626432. Its totient is φ = 116640000.

The previous prime is 452130643. The next prime is 452130689. The reversal of 452130660 is 66031254.

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 47 ways as a sum of consecutive naturals, for example, 149160 + ... + 152160.

Almost surely, 2452130660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452130660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734313216).

452130660 is an abundant number, since it is smaller than the sum of its proper divisors (1016495772).

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

452130660 is a wasteful number, since it uses less digits than its factorization.

452130660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 452130660 is about 21263.3642681491. The cubic root of 452130660 is about 767.5169692125.

The spelling of 452130660 in words is "four hundred fifty-two million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 243 270 279 310 324 372 405 465 486 540 558 620 810 837 930 972 1116 1215 1395 1620 1674 1860 2430 2511 2790 3001 3348 4185 4860 5022 5580 6002 7533 8370 9003 10044 12004 12555 15005 15066 16740 18006 25110 27009 30010 30132 36012 37665 45015 50220 54018 60020 75330 81027 90030 93031 108036 135045 150660 162054 180060 186062 243081 270090 279093 324108 372124 405135 465155 486162 540180 558186 729243 810270 837279 930310 972324 1116372 1215405 1395465 1458486 1620540 1674558 1860620 2430810 2511837 2790930 2916972 3349116 3646215 4186395 4861620 5023674 5581860 7292430 7535511 8372790 10047348 12559185 14584860 15071022 16745580 22606533 25118370 30142044 37677555 45213066 50236740 75355110 90426132 113032665 150710220 226065330 452130660