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1331627430 = 235721018969
BaseRepresentation
bin100111101011111…
…0000010110100110
310102210200200102110
41033113300112212
510211344034210
6340045221450
744666434500
oct11727602646
93383620373
101331627430
1162373a441
12311b61886
13182b5c933
14c8bd4d70
157bd8b420
hex4f5f05a6

1331627430 has 96 divisors (see below), whose sum is σ = 3754913760. Its totient is φ = 301324800.

The previous prime is 1331627419. The next prime is 1331627441. The reversal of 1331627430 is 347261331.

It is an interprime number because it is at equal distance from previous prime (1331627419) and next prime (1331627441).

It is a super-2 number, since 2×13316274302 = 3546463224656809800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143986 + ... + 152954.

It is an arithmetic number, because the mean of its divisors is an integer number (39113685).

Almost surely, 21331627430 is an apocalyptic number.

1331627430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331627430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877456880).

1331627430 is an abundant number, since it is smaller than the sum of its proper divisors (2423286330).

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

1331627430 is a wasteful number, since it uses less digits than its factorization.

1331627430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9094 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 1331627430 is about 36491.4706472622. The cubic root of 1331627430 is about 1100.1728185775.

Adding to 1331627430 its reverse (347261331), we get a palindrome (1678888761).

The spelling of 1331627430 in words is "one billion, three hundred thirty-one million, six hundred twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 101 105 147 202 210 245 294 303 490 505 606 707 735 1010 1414 1470 1515 2121 3030 3535 4242 4949 7070 8969 9898 10605 14847 17938 21210 24745 26907 29694 44845 49490 53814 62783 74235 89690 125566 134535 148470 188349 269070 313915 376698 439481 627830 878962 905869 941745 1318443 1811738 1883490 2197405 2636886 2717607 4394810 4529345 5435214 6341083 6592215 9058690 12682166 13184430 13588035 19023249 27176070 31705415 38046498 44387581 63410830 88775162 95116245 133162743 190232490 221937905 266325486 443875810 665813715 1331627430