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130173040 = 2454379479
BaseRepresentation
bin1111100001001…
…00100001110000
3100001221110211201
413300210201300
5231311014130
620530020544
73140311144
oct760444160
9301843751
10130173040
116752aa28
1237717754
1320c7948a
1413407224
15b664bca
hex7c24870

130173040 has 80 divisors (see below), whose sum is σ = 314265600. Its totient is φ = 50109696.

The previous prime is 130173019. The next prime is 130173049. The reversal of 130173040 is 40371031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 130172999 and 130173017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130173049) by changing a digit.

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, 271521 + ... + 271999.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2130173040 is an apocalyptic number.

130173040 is a gapful number since it is divisible by the number (10) 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 130173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157132800).

130173040 is an abundant number, since it is smaller than the sum of its proper divisors (184092560).

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

130173040 is a wasteful number, since it uses less digits than its factorization.

130173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 130173040 is about 11409.3400334989. The cubic root of 130173040 is about 506.8043677740.

The spelling of 130173040 in words is "one hundred thirty million, one hundred seventy-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 79 80 86 158 172 215 316 344 395 430 479 632 688 790 860 958 1264 1580 1720 1916 2395 3160 3397 3440 3832 4790 6320 6794 7664 9580 13588 16985 19160 20597 27176 33970 37841 38320 41194 54352 67940 75682 82388 102985 135880 151364 164776 189205 205970 271760 302728 329552 378410 411940 605456 756820 823880 1513640 1627163 1647760 3027280 3254326 6508652 8135815 13017304 16271630 26034608 32543260 65086520 130173040