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130642176 = 2837191279
BaseRepresentation
bin1111100100101…
…11000100000000
3100002211022101010
413302113010000
5231421022201
620544040520
73144303660
oct762270400
9302738333
10130642176
1167820445
1237903140
13210b1b82
14134ca1a0
15b708bd6
hex7c97100

130642176 has 144 divisors (see below), whose sum is σ = 418611200. Its totient is φ = 35334144.

The previous prime is 130642159. The next prime is 130642181. The reversal of 130642176 is 671246031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101505 + ... + 102783.

Almost surely, 2130642176 is an apocalyptic number.

130642176 is a gapful number since it is divisible by the number (16) 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 130642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209305600).

130642176 is an abundant number, since it is smaller than the sum of its proper divisors (287969024).

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

130642176 is a wasteful number, since it uses less digits than its factorization.

130642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 130642176 is about 11429.8808392739. The cubic root of 130642176 is about 507.4124689082.

The spelling of 130642176 in words is "one hundred thirty million, six hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 256 266 304 336 384 399 448 456 532 608 672 768 798 896 912 1064 1216 1279 1344 1596 1792 1824 2128 2432 2558 2688 3192 3648 3837 4256 4864 5116 5376 6384 7296 7674 8512 8953 10232 12768 14592 15348 17024 17906 20464 24301 25536 26859 30696 34048 35812 40928 48602 51072 53718 61392 71624 72903 81856 97204 102144 107436 122784 143248 145806 163712 170107 194408 214872 245568 286496 291612 327424 340214 388816 429744 491136 510321 572992 583224 680428 777632 859488 982272 1020642 1145984 1166448 1360856 1555264 1718976 2041284 2291968 2332896 2721712 3110528 3437952 4082568 4665792 5443424 6221056 6875904 8165136 9331584 10886848 16330272 18663168 21773696 32660544 43547392 65321088 130642176