Search a number
-
+
68932656 = 243213231601
BaseRepresentation
bin1000001101111…
…01010000110000
311210201010211100
410012331100300
5120121321111
610501244400
71464626562
oct406752060
9153633740
1068932656
1135a02141
121b103700
1311386a70
149225332
1560b9756
hex41bd430

68932656 has 120 divisors (see below), whose sum is σ = 216923616. Its totient is φ = 20275200.

The previous prime is 68932631. The next prime is 68932663. The reversal of 68932656 is 65623986.

It is a happy number.

It is a super-2 number, since 2×689326562 = 9503422126428672, which contains 22 as substring.

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, 42256 + ... + 43856.

Almost surely, 268932656 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 68932656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108461808).

68932656 is an abundant number, since it is smaller than the sum of its proper divisors (147990960).

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

68932656 is a wasteful number, since it uses less digits than its factorization.

68932656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1642 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 68932656 is about 8302.5692409037. The cubic root of 68932656 is about 410.0231119234.

The spelling of 68932656 in words is "sixty-eight million, nine hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 828 897 936 1104 1196 1601 1656 1794 1872 2392 2691 3202 3312 3588 4784 4803 5382 6404 7176 9606 10764 12808 14352 14409 19212 20813 21528 25616 28818 36823 38424 41626 43056 57636 62439 73646 76848 83252 110469 115272 124878 147292 166504 187317 220938 230544 249756 294584 331407 333008 374634 441876 478699 499512 589168 662814 749268 883752 957398 999024 1325628 1436097 1498536 1767504 1914796 2651256 2872194 2997072 3829592 4308291 5302512 5744388 7659184 8616582 11488776 17233164 22977552 34466328 68932656