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130635372 = 223722947163
BaseRepresentation
bin1111100100101…
…01011001101100
3100002210222001010
413302111121230
5231420312442
620543545220
73144245100
oct762253154
9302728033
10130635372
116781631a
12378bb210
13210aba4a
14134c7900
15b706b9c
hex7c9566c

130635372 has 144 divisors (see below), whose sum is σ = 376911360. Its totient is φ = 35054208.

The previous prime is 130635371. The next prime is 130635403. The reversal of 130635372 is 273536031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130635371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801363 + ... + 801525.

It is an arithmetic number, because the mean of its divisors is an integer number (2617440).

Almost surely, 2130635372 is an apocalyptic number.

130635372 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 130635372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188455680).

130635372 is an abundant number, since it is smaller than the sum of its proper divisors (246275988).

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

130635372 is a wasteful number, since it uses less digits than its factorization.

130635372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 130635372 is about 11429.5831945001. The cubic root of 130635372 is about 507.4036598736.

The spelling of 130635372 in words is "one hundred thirty million, six hundred thirty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 47 49 58 84 87 94 98 116 141 147 163 174 188 196 203 282 294 326 329 348 406 489 564 588 609 652 658 812 978 987 1141 1218 1316 1363 1421 1956 1974 2282 2303 2436 2726 2842 3423 3948 4089 4263 4564 4606 4727 5452 5684 6846 6909 7661 7987 8178 8526 9212 9454 9541 13692 13818 14181 15322 15974 16356 17052 18908 19082 22983 23961 27636 28362 28623 30644 31948 33089 38164 45966 47922 53627 56724 57246 66178 66787 91932 95844 99267 107254 114492 132356 133574 160881 198534 200361 214508 222169 231623 267148 321762 375389 397068 400722 444338 463246 643524 666507 694869 750778 801444 888676 926492 1126167 1333014 1389738 1501556 1555183 2252334 2666028 2779476 3110366 4504668 4665549 6220732 9331098 10886281 18662196 21772562 32658843 43545124 65317686 130635372