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1330420200 = 233522698243
BaseRepresentation
bin100111101001100…
…1001100111101000
310102201102100102020
41033103021213220
510211041421300
6340003304440
744653246044
oct11723114750
93381370366
101330420200
11622a9542a
1231167b120
131828292b5
14c899d024
157bbed8a0
hex4f4c99e8

1330420200 has 96 divisors (see below), whose sum is σ = 4140136800. Its totient is φ = 353416960.

The previous prime is 1330420183. The next prime is 1330420207. The reversal of 1330420200 is 20240331.

1330420200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1330420200.

It is not an unprimeable number, because it can be changed into a prime (1330420207) 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, 157279 + ... + 165521.

It is an arithmetic number, because the mean of its divisors is an integer number (43126425).

Almost surely, 21330420200 is an apocalyptic number.

1330420200 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 1330420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070068400).

1330420200 is an abundant number, since it is smaller than the sum of its proper divisors (2809716600).

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

1330420200 is a wasteful number, since it uses less digits than its factorization.

1330420200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8522 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 1330420200 is about 36474.9256339201. The cubic root of 1330420200 is about 1099.8402522838.

Adding to 1330420200 its reverse (20240331), we get a palindrome (1350660531).

The spelling of 1330420200 in words is "one billion, three hundred thirty million, four hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 269 300 538 600 807 1076 1345 1614 2152 2690 3228 4035 5380 6456 6725 8070 8243 10760 13450 16140 16486 20175 24729 26900 32280 32972 40350 41215 49458 53800 65944 80700 82430 98916 123645 161400 164860 197832 206075 247290 329720 412150 494580 618225 824300 989160 1236450 1648600 2217367 2472900 4434734 4945800 6652101 8869468 11086835 13304202 17738936 22173670 26608404 33260505 44347340 53216808 55434175 66521010 88694680 110868350 133042020 166302525 221736700 266084040 332605050 443473400 665210100 1330420200