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68900364 = 2232132337173
BaseRepresentation
bin1000001101101…
…01011000001100
311210122111112100
410012311120030
5120114302424
610500435100
71464433461
oct406653014
9153574470
1068900364
113598a955
121b0a8a90
1311375160
149217668
1560aedc9
hex41b560c

68900364 has 144 divisors (see below), whose sum is σ = 202168512. Its totient is φ = 19616256.

The previous prime is 68900353. The next prime is 68900369. The reversal of 68900364 is 46300986.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68900369) 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 47 ways as a sum of consecutive naturals, for example, 398182 + ... + 398354.

It is an arithmetic number, because the mean of its divisors is an integer number (1403948).

Almost surely, 268900364 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 68900364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101084256).

68900364 is an abundant number, since it is smaller than the sum of its proper divisors (133268148).

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

68900364 is a wasteful number, since it uses less digits than its factorization.

68900364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 68900364 is about 8300.6243138694. The cubic root of 68900364 is about 409.9590758280.

The spelling of 68900364 in words is "sixty-eight million, nine hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 37 39 46 52 69 74 78 92 111 117 138 148 156 173 207 222 234 276 299 333 346 414 444 468 481 519 598 666 692 828 851 897 962 1038 1196 1332 1443 1557 1702 1794 1924 2076 2249 2553 2691 2886 3114 3404 3588 3979 4329 4498 5106 5382 5772 6228 6401 6747 7659 7958 8658 8996 10212 10764 11063 11937 12802 13494 15318 15916 17316 19203 20241 22126 23874 25604 26988 30636 33189 35811 38406 40482 44252 47748 51727 57609 66378 71622 76812 80964 83213 99567 103454 115218 132756 143244 147223 155181 166426 199134 206908 230436 249639 294446 310362 332852 398268 441669 465543 499278 588892 620724 748917 883338 931086 998556 1325007 1497834 1766676 1862172 1913899 2650014 2995668 3827798 5300028 5741697 7655596 11483394 17225091 22966788 34450182 68900364