Search a number
-
+
130142040 = 23357222133
BaseRepresentation
bin1111100000111…
…00111101011000
3100001212220022120
413300130331120
5231304021130
620525221240
73140121600
oct760347530
9301786276
10130142040
1167509706
1237701820
1320c68332
14133d9c00
15b65a910
hex7c1cf58

130142040 has 96 divisors (see below), whose sum is σ = 454189680. Its totient is φ = 29745408.

The previous prime is 130142029. The next prime is 130142041. The reversal of 130142040 is 40241031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130142041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5187 + ... + 16946.

Almost surely, 2130142040 is an apocalyptic number.

130142040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130142040 is an abundant number, since it is smaller than the sum of its proper divisors (324047640).

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

130142040 is a wasteful number, since it uses less digits than its factorization.

130142040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22161 (or 22150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 130142040 is about 11407.9814165347. The cubic root of 130142040 is about 506.7641336807.

Adding to 130142040 its reverse (40241031), we get a palindrome (170383071).

The spelling of 130142040 in words is "one hundred thirty million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 22133 44266 66399 88532 110665 132798 154931 177064 221330 265596 309862 331995 442660 464793 531192 619724 663990 774655 885320 929586 1084517 1239448 1327980 1549310 1859172 2169034 2323965 2655960 3098620 3253551 3718344 4338068 4647930 5422585 6197240 6507102 8676136 9295860 10845170 13014204 16267755 18591720 21690340 26028408 32535510 43380680 65071020 130142040