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130700952 = 233673307
BaseRepresentation
bin1111100101001…
…01011010011000
3100002221022000000
413302211122120
5231424412302
620545213000
73144640224
oct762453230
9302838000
10130700952
1167860618
1237931160
1321102855
1413503784
15b71b31c
hex7ca5698

130700952 has 112 divisors (see below), whose sum is σ = 373674840. Its totient is φ = 42830208.

The previous prime is 130700939. The next prime is 130700953. The reversal of 130700952 is 259007031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130700953) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 425583 + ... + 425889.

Almost surely, 2130700952 is an apocalyptic number.

130700952 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 130700952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186837420).

130700952 is an abundant number, since it is smaller than the sum of its proper divisors (242973888).

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

130700952 is an equidigital number, since it uses as much as digits as its factorization.

130700952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130700952 is about 11432.4517055617. The cubic root of 130700952 is about 507.4885525660.

Adding to 130700952 its reverse (259007031), we get a palindrome (389707983).

The spelling of 130700952 in words is "one hundred thirty million, seven hundred thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 73 81 108 146 162 216 219 243 292 307 324 438 486 584 614 648 657 729 876 921 972 1228 1314 1458 1752 1842 1944 1971 2456 2628 2763 2916 3684 3942 5256 5526 5832 5913 7368 7884 8289 11052 11826 15768 16578 17739 22104 22411 23652 24867 33156 35478 44822 47304 49734 53217 66312 67233 70956 74601 89644 99468 106434 134466 141912 149202 179288 198936 201699 212868 223803 268932 298404 403398 425736 447606 537864 596808 605097 806796 895212 1210194 1613592 1790424 1815291 2420388 3630582 4840776 5445873 7261164 10891746 14522328 16337619 21783492 32675238 43566984 65350476 130700952