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130409448 = 2331317231069
BaseRepresentation
bin1111100010111…
…10001111101000
3100002101111010120
413301132033220
5231341100243
620535043240
73142314321
oct761361750
9302344116
10130409448
1167681604
1237810520
132102cc70
1413469448
15b6aec83
hex7c5e3e8

130409448 has 128 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 36089856.

The previous prime is 130409441. The next prime is 130409449. The reversal of 130409448 is 844904031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (130409441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121458 + ... + 122526.

It is an arithmetic number, because the mean of its divisors is an integer number (3033450).

Almost surely, 2130409448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130409448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

130409448 is an abundant number, since it is smaller than the sum of its proper divisors (257872152).

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

130409448 is a wasteful number, since it uses less digits than its factorization.

130409448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 130409448 is about 11419.6956176599. The cubic root of 130409448 is about 507.1109856658.

The spelling of 130409448 in words is "one hundred thirty million, four hundred nine thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 23 24 26 34 39 46 51 52 68 69 78 92 102 104 136 138 156 184 204 221 276 299 312 391 408 442 552 598 663 782 884 897 1069 1173 1196 1326 1564 1768 1794 2138 2346 2392 2652 3128 3207 3588 4276 4692 5083 5304 6414 7176 8552 9384 10166 12828 13897 15249 18173 20332 24587 25656 27794 30498 36346 40664 41691 49174 54519 55588 60996 72692 73761 83382 98348 109038 111176 121992 145384 147522 166764 196696 218076 236249 295044 319631 333528 417979 436152 472498 590088 639262 708747 835958 944996 958893 1253937 1278524 1417494 1671916 1889992 1917786 2507874 2557048 2834988 3343832 3835572 5015748 5433727 5669976 7671144 10031496 10867454 16301181 21734908 32602362 43469816 65204724 130409448