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130134004 = 227211134643
BaseRepresentation
bin1111100000110…
…10111111110100
3100001212111021221
413300122333310
5231303242004
620525120124
73140056300
oct760327764
9301774257
10130134004
1167503670
12376b9044
1320c64790
14133d6d00
15b658354
hex7c1aff4

130134004 has 72 divisors (see below), whose sum is σ = 311296608. Its totient is φ = 46791360.

The previous prime is 130133981. The next prime is 130134013. The reversal of 130134004 is 400431031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25707 + ... + 30349.

It is an arithmetic number, because the mean of its divisors is an integer number (4323564).

Almost surely, 2130134004 is an apocalyptic number.

130134004 is a gapful number since it is divisible by the number (14) 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 130134004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155648304).

130134004 is an abundant number, since it is smaller than the sum of its proper divisors (181162604).

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

130134004 is a wasteful number, since it uses less digits than its factorization.

130134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4685 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130134004 is about 11407.6292015475. The cubic root of 130134004 is about 506.7537029226.

Adding to 130134004 its reverse (400431031), we get a palindrome (530565035).

The spelling of 130134004 in words is "one hundred thirty million, one hundred thirty-four thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 2002 2156 2548 4004 4643 7007 9286 14014 18572 28028 32501 51073 60359 65002 102146 120718 130004 204292 227507 241436 357511 422513 455014 663949 715022 845026 910028 1327898 1430044 1690052 2502577 2655796 2957591 4647643 5005154 5915182 9295286 10010308 11830364 18590572 32533501 65067002 130134004