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1300067964 = 2232133775079
BaseRepresentation
bin100110101111101…
…0111011001111100
310100121022021222100
41031133113121330
510130304133324
6333000545100
744134252416
oct11537273174
93317267870
101300067964
11607944338
12303482190
1317945cbb0
14c493b9b6
15792054c9
hex4d7d767c

1300067964 has 72 divisors (see below), whose sum is σ = 3634772960. Its totient is φ = 389204352.

The previous prime is 1300067963. The next prime is 1300067981. The reversal of 1300067964 is 4697600031.

It is a super-2 number, since 2×13000679642 = 3380353422038210592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300067963) 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, 20224 + ... + 54855.

Almost surely, 21300067964 is an apocalyptic number.

It is an amenable number.

1300067964 is an abundant number, since it is smaller than the sum of its proper divisors (2334704996).

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

1300067964 is a wasteful number, since it uses less digits than its factorization.

1300067964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75139 (or 75134 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1300067964 is about 36056.4552334253. The cubic root of 1300067964 is about 1091.4119020696.

Adding to 1300067964 its reverse (4697600031), we get a palindrome (5997667995).

It can be divided in two parts, 1300067 and 964, that added together give a palindrome (1301031).

The spelling of 1300067964 in words is "one billion, three hundred million, sixty-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5772 8658 17316 75079 150158 225237 300316 450474 675711 900948 976027 1351422 1952054 2702844 2777923 2928081 3904108 5555846 5856162 8333769 8784243 11111692 11712324 16667538 17568486 25001307 33335076 35136972 36112999 50002614 72225998 100005228 108338997 144451996 216677994 325016991 433355988 650033982 1300067964