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678953106 = 2321321719691
BaseRepresentation
bin101000011110000…
…000000010010010
31202022120101120100
4220132000002102
52342302444411
6151212153230
722553002056
oct5036000222
91668511510
10678953106
11319284577
1216b468816
13aa880600
1466259c66
153e916456
hex28780092

678953106 has 144 divisors (see below), whose sum is σ = 1777969440. Its totient is φ = 186001920.

The previous prime is 678953059. The next prime is 678953113. The reversal of 678953106 is 601359876.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 982221 + ... + 982911.

It is an arithmetic number, because the mean of its divisors is an integer number (12347010).

Almost surely, 2678953106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678953106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888984720).

678953106 is an abundant number, since it is smaller than the sum of its proper divisors (1099016334).

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

678953106 is a wasteful number, since it uses less digits than its factorization.

678953106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 678953106 is about 26056.7286127787. The cubic root of 678953106 is about 878.9144267046.

It can be divided in two parts, 6789 and 53106, that added together give a palindrome (59895).

The spelling of 678953106 in words is "six hundred seventy-eight million, nine hundred fifty-three thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 19 26 34 38 39 51 57 78 102 114 117 153 169 171 221 234 247 306 323 338 342 442 494 507 646 663 691 741 969 1014 1326 1382 1482 1521 1938 1989 2073 2223 2873 2907 3042 3211 3978 4146 4199 4446 5746 5814 6219 6422 8398 8619 8983 9633 11747 12438 12597 13129 17238 17966 19266 23494 25194 25857 26258 26949 28899 35241 37791 39387 51714 53898 54587 57798 70482 75582 78774 80847 105723 109174 116779 118161 152711 161694 163761 170677 211446 223193 233558 236322 305422 327522 341354 350337 446386 458133 491283 512031 669579 700674 916266 982566 1024062 1051011 1339158 1374399 1536093 1985243 2008737 2102022 2218801 2748798 2901509 3072186 3970486 4017474 4437602 5803018 5955729 6656403 8704527 11911458 13312806 17409054 17867187 19969209 26113581 35734374 37719617 39938418 52227162 75439234 113158851 226317702 339476553 678953106