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130861008 = 2434372729
BaseRepresentation
bin1111100110011…
…00011111010000
3100010020102120000
413303030133100
5232000023013
620552450000
73146204655
oct763143720
9303212500
10130861008
116795a8a3
12379a9900
132115a665
1413545c2c
15b74d973
hex7ccc7d0

130861008 has 100 divisors (see below), whose sum is σ = 389128740. Its totient is φ = 42425856.

The previous prime is 130861001. The next prime is 130861057. The reversal of 130861008 is 800168031.

It can be written as a sum of positive squares in 2 ways, for example, as 122146704 + 8714304 = 11052^2 + 2952^2 .

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 (130861001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46588 + ... + 49316.

Almost surely, 2130861008 is an apocalyptic number.

130861008 is a gapful number since it is divisible by the number (18) 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 130861008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194564370).

130861008 is an abundant number, since it is smaller than the sum of its proper divisors (258267732).

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

130861008 is a wasteful number, since it uses less digits than its factorization.

130861008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 130861008 is about 11439.4496371110. The cubic root of 130861008 is about 507.6956243903.

The spelling of 130861008 in words is "one hundred thirty million, eight hundred sixty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2729 2997 3996 5328 5458 5994 7992 8187 10916 11988 15984 16374 21832 23976 24561 32748 43664 47952 49122 65496 73683 98244 100973 130992 147366 196488 201946 221049 294732 302919 392976 403892 442098 589464 605838 807784 884196 908757 1178928 1211676 1615568 1768392 1817514 2423352 2726271 3536784 3635028 4846704 5452542 7270056 8178813 10905084 14540112 16357626 21810168 32715252 43620336 65430504 130861008