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1300152152 = 231323167463
BaseRepresentation
bin100110101111110…
…1011111101011000
310100121110120110102
41031133223331120
510130314332102
6333002434532
744135053025
oct11537537530
93317416412
101300152152
116079a1612
12303502a48
1317948c300
14c496054c
1579220402
hex4d7ebf58

1300152152 has 96 divisors (see below), whose sum is σ = 2771527680. Its totient is φ = 570810240.

The previous prime is 1300152137. The next prime is 1300152173. The reversal of 1300152152 is 2512510031.

It is a happy number.

It is a super-2 number, since 2×13001521522 = 3380791236700462208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2807873 + ... + 2808335.

It is an arithmetic number, because the mean of its divisors is an integer number (28870080).

Almost surely, 21300152152 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 1300152152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385763840).

1300152152 is an abundant number, since it is smaller than the sum of its proper divisors (1471375528).

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

1300152152 is a wasteful number, since it uses less digits than its factorization.

1300152152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1300152152 is about 36057.6226615122. The cubic root of 1300152152 is about 1091.4354602744.

Adding to 1300152152 its reverse (2512510031), we get a palindrome (3812662183).

The spelling of 1300152152 in words is "one billion, three hundred million, one hundred fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 31 52 62 67 104 124 134 169 248 268 338 403 463 536 676 806 871 926 1352 1612 1742 1852 2077 3224 3484 3704 4154 5239 6019 6968 8308 10478 11323 12038 14353 16616 20956 22646 24076 27001 28706 31021 41912 45292 48152 54002 57412 62042 78247 90584 108004 114824 124084 156494 186589 216008 248168 312988 351013 373178 403273 625976 702026 746356 806546 961651 1404052 1492712 1613092 1923302 2425657 2808104 3226184 3846604 4851314 5242549 7693208 9702628 10485098 12501463 19405256 20970196 25002926 41940392 50005852 100011704 162519019 325038038 650076076 1300152152