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130572372 = 223731411223
BaseRepresentation
bin1111100100001…
…10000001010100
3100002200202121210
413302012001110
5231411303442
620542341420
73143563320
oct762060124
9302622553
10130572372
1167782a57
123788a870
1321089178
14134ac980
15b6e319c
hex7c86054

130572372 has 96 divisors (see below), whose sum is σ = 368492544. Its totient is φ = 35193600.

The previous prime is 130572367. The next prime is 130572373. The reversal of 130572372 is 273275031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130572373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106153 + ... + 107375.

It is an arithmetic number, because the mean of its divisors is an integer number (3838464).

Almost surely, 2130572372 is an apocalyptic number.

130572372 is a gapful number since it is divisible by the number (12) 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 130572372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184246272).

130572372 is an abundant number, since it is smaller than the sum of its proper divisors (237920172).

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

130572372 is a wasteful number, since it uses less digits than its factorization.

130572372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 130572372 is about 11426.8268561311. The cubic root of 130572372 is about 507.3220802060.

The spelling of 130572372 in words is "one hundred thirty million, five hundred seventy-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 492 574 651 861 868 1148 1223 1271 1302 1722 2446 2542 2604 3444 3669 3813 4892 5084 7338 7626 8561 8897 14676 15252 17122 17794 25683 26691 34244 35588 37913 50143 51366 53382 75826 100286 102732 106764 113739 150429 151652 200572 227478 265391 300858 351001 454956 530782 601716 702002 796173 1053003 1061564 1404004 1554433 1592346 2106006 3108866 3184692 4212012 4663299 6217732 9326598 10881031 18653196 21762062 32643093 43524124 65286186 130572372