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130049360 = 2457232439
BaseRepresentation
bin1111100000001…
…10010101010000
3100001201012011222
413300012111100
5231243034420
620523224212
73136254440
oct760062520
9301635158
10130049360
1167456011
1237678068
1320c350ac
14133b4120
15b63d225
hex7c06550

130049360 has 120 divisors (see below), whose sum is σ = 362060160. Its totient is φ = 42552576.

The previous prime is 130049323. The next prime is 130049399. The reversal of 130049360 is 63940031.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 296021 + ... + 296459.

It is an arithmetic number, because the mean of its divisors is an integer number (3017168).

Almost surely, 2130049360 is an apocalyptic number.

130049360 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 130049360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181030080).

130049360 is an abundant number, since it is smaller than the sum of its proper divisors (232010800).

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

130049360 is a wasteful number, since it uses less digits than its factorization.

130049360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 130049360 is about 11403.9186247535. The cubic root of 130049360 is about 506.6438086025.

Adding to 130049360 its reverse (63940031), we get a palindrome (193989391).

The spelling of 130049360 in words is "one hundred thirty million, forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 439 460 529 560 644 805 878 920 1058 1288 1610 1756 1840 2116 2195 2576 2645 3073 3220 3512 3703 4232 4390 5290 6146 6440 7024 7406 8464 8780 10097 10580 12292 12880 14812 15365 17560 18515 20194 21160 24584 29624 30730 35120 37030 40388 42320 49168 50485 59248 61460 70679 74060 80776 100970 122920 141358 148120 161552 201940 232231 245840 282716 296240 353395 403880 464462 565432 706790 807760 928924 1130864 1161155 1413580 1625617 1857848 2322310 2827160 3251234 3715696 4644620 5654320 6502468 8128085 9289240 13004936 16256170 18578480 26009872 32512340 65024680 130049360