Search a number
-
+
1305096936 = 23311131722369
BaseRepresentation
bin100110111001010…
…0011001011101000
310100221202210102120
41031302203023220
510133101100221
6333300431240
744225066223
oct11562431350
93327683376
101305096936
1160a769710
123050a8520
1317a500c10
14c548a5ba
157989a5c6
hex4dca32e8

1305096936 has 128 divisors (see below), whose sum is σ = 4058812800. Its totient is φ = 343572480.

The previous prime is 1305096929. The next prime is 1305096943. The reversal of 1305096936 is 6396905031.

It is an interprime number because it is at equal distance from previous prime (1305096929) and next prime (1305096943).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47160 + ... + 69528.

It is an arithmetic number, because the mean of its divisors is an integer number (31709475).

Almost surely, 21305096936 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 1305096936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029406400).

1305096936 is an abundant number, since it is smaller than the sum of its proper divisors (2753715864).

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

1305096936 is a wasteful number, since it uses less digits than its factorization.

1305096936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22419 (or 22415 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 1305096936 is about 36126.1253942351. The cubic root of 1305096936 is about 1092.8173716412.

The spelling of 1305096936 in words is "one billion, three hundred five million, ninety-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 22369 29172 44738 58344 67107 89476 134214 178952 246059 268428 290797 380273 492118 536856 581594 738177 760546 872391 984236 1140819 1163188 1476354 1521092 1744782 1968472 2281638 2326376 2952708 3042184 3198767 3489564 4183003 4563276 4943549 5905416 6397534 6979128 8366006 9126552 9596301 9887098 12549009 12795068 14830647 16732012 19192602 19774196 25098018 25590136 29661294 33464024 38385204 39548392 50196036 54379039 59322588 76770408 100392072 108758078 118645176 163137117 217516156 326274234 435032312 652548468 1305096936