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130632150 = 235211411931
BaseRepresentation
bin1111100100101…
…00100111010110
3100002210210121210
413302110213112
5231420212100
620543522250
73144232515
oct762244726
9302723553
10130632150
1167813960
12378b9386
13210aa43c
14134c667c
15b705c50
hex7c949d6

130632150 has 96 divisors (see below), whose sum is σ = 362226816. Its totient is φ = 30880000.

The previous prime is 130632143. The next prime is 130632167. The reversal of 130632150 is 51236031.

It is a super-2 number, since 2×1306321502 = 34129517227245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66685 + ... + 68615.

It is an arithmetic number, because the mean of its divisors is an integer number (3773196).

Almost surely, 2130632150 is an apocalyptic number.

130632150 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 130632150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181113408).

130632150 is an abundant number, since it is smaller than the sum of its proper divisors (231594666).

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

130632150 is a wasteful number, since it uses less digits than its factorization.

130632150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 130632150 is about 11429.4422436093. The cubic root of 130632150 is about 507.3994882928.

Adding to 130632150 its reverse (51236031), we get a palindrome (181868181).

The spelling of 130632150 in words is "one hundred thirty million, six hundred thirty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 41 50 55 66 75 82 110 123 150 165 205 246 275 330 410 451 550 615 825 902 1025 1230 1353 1650 1931 2050 2255 2706 3075 3862 4510 5793 6150 6765 9655 11275 11586 13530 19310 21241 22550 28965 33825 42482 48275 57930 63723 67650 79171 96550 106205 127446 144825 158342 212410 237513 289650 318615 395855 475026 531025 637230 791710 870881 1062050 1187565 1593075 1741762 1979275 2375130 2612643 3186150 3958550 4354405 5225286 5937825 8708810 11875650 13063215 21772025 26126430 43544050 65316075 130632150