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1352315220 = 2235371075693
BaseRepresentation
bin101000010011010…
…1011000101010100
310111020121201201220
41100212223011110
510232143041340
6342104450340
745340326654
oct12046530524
93436551656
101352315220
1163438a493
12318a799b0
13187224129
14cb85c364
157dac5ed0
hex509ab154

1352315220 has 96 divisors (see below), whose sum is σ = 3925853568. Its totient is φ = 347530752.

The previous prime is 1352315207. The next prime is 1352315221. The reversal of 1352315220 is 225132531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352315221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234694 + ... + 240386.

It is an arithmetic number, because the mean of its divisors is an integer number (40894308).

Almost surely, 21352315220 is an apocalyptic number.

1352315220 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 1352315220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1962926784).

1352315220 is an abundant number, since it is smaller than the sum of its proper divisors (2573538348).

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

1352315220 is a wasteful number, since it uses less digits than its factorization.

1352315220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5849 (or 5847 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1352315220 is about 36773.8387987983. The cubic root of 1352315220 is about 1105.8408919750.

Adding to 1352315220 its reverse (225132531), we get a palindrome (1577447751).

The spelling of 1352315220 in words is "one billion, three hundred fifty-two million, three hundred fifteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 107 111 148 185 214 222 321 370 428 444 535 555 642 740 1070 1110 1284 1605 2140 2220 3210 3959 5693 6420 7918 11386 11877 15836 17079 19795 22772 23754 28465 34158 39590 47508 56930 59385 68316 79180 85395 113860 118770 170790 210641 237540 341580 421282 609151 631923 842564 1053205 1218302 1263846 1827453 2106410 2436604 2527692 3045755 3159615 3654906 4212820 6091510 6319230 7309812 9137265 12183020 12638460 18274530 22538587 36549060 45077174 67615761 90154348 112692935 135231522 225385870 270463044 338078805 450771740 676157610 1352315220