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130250952 = 233213373761
BaseRepresentation
bin1111100001101…
…11100011001000
3100002002102201100
413300313203020
5231321012302
620531421400
73141054246
oct760674310
9302072640
10130250952
1167583517
1237754860
1320ca5a90
1413427796
15b67cd1c
hex7c378c8

130250952 has 96 divisors (see below), whose sum is σ = 390269880. Its totient is φ = 38983680.

The previous prime is 130250927. The next prime is 130250963. The reversal of 130250952 is 259052031.

It can be written as a sum of positive squares in 4 ways, for example, as 111640356 + 18610596 = 10566^2 + 4314^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32752 + ... + 36512.

Almost surely, 2130250952 is an apocalyptic number.

130250952 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 130250952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195134940).

130250952 is an abundant number, since it is smaller than the sum of its proper divisors (260018928).

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

130250952 is a wasteful number, since it uses less digits than its factorization.

130250952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 130250952 is about 11412.7539183144. The cubic root of 130250952 is about 506.9054595379.

The spelling of 130250952 in words is "one hundred thirty million, two hundred fifty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 37 39 52 72 74 78 104 111 117 148 156 222 234 296 312 333 444 468 481 666 888 936 962 1332 1443 1924 2664 2886 3761 3848 4329 5772 7522 8658 11283 11544 15044 17316 22566 30088 33849 34632 45132 48893 67698 90264 97786 135396 139157 146679 195572 270792 278314 293358 391144 417471 440037 556628 586716 834942 880074 1113256 1173432 1252413 1669884 1760148 1809041 2504826 3339768 3520296 3618082 5009652 5427123 7236164 10019304 10854246 14472328 16281369 21708492 32562738 43416984 65125476 130250952