Search a number
-
+
68389968 = 24319314159
BaseRepresentation
bin1000001001110…
…00110001010000
311202200120101210
410010320301100
5120001434333
610441500120
71460206443
oct404706120
9152616353
1068389968
1135671439
121aaa1640
1311226a4a
14912365a
15600da63
hex4138c50

68389968 has 160 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 20044800.

The previous prime is 68389943. The next prime is 68390011. The reversal of 68389968 is 86998386.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 1159123 + ... + 1159181.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 268389968 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 68389968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

68389968 is an abundant number, since it is smaller than the sum of its proper divisors (131597232).

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

68389968 is a wasteful number, since it uses less digits than its factorization.

68389968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 68389968 is about 8269.8227308691. The cubic root of 68389968 is about 408.9442757797.

The spelling of 68389968 in words is "sixty-eight million, three hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 41 48 57 59 62 76 82 93 114 118 123 124 152 164 177 186 228 236 246 248 304 328 354 372 456 472 492 496 589 656 708 744 779 912 944 984 1121 1178 1271 1416 1488 1558 1767 1829 1968 2242 2337 2356 2419 2542 2832 3116 3363 3534 3658 3813 4484 4674 4712 4838 5084 5487 6232 6726 7068 7257 7316 7626 8968 9348 9424 9676 10168 10974 12464 13452 14136 14514 14632 15252 17936 18696 19352 20336 21948 24149 26904 28272 29028 29264 30504 34751 37392 38704 43896 45961 48298 53808 58056 61008 69502 72447 74989 87792 91922 96596 104253 116112 137883 139004 144894 149978 183844 193192 208506 224967 275766 278008 289788 299956 367688 386384 417012 449934 551532 556016 579576 599912 735376 834024 899868 1103064 1159152 1199824 1424791 1668048 1799736 2206128 2849582 3599472 4274373 5699164 8548746 11398328 17097492 22796656 34194984 68389968