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68906376 = 23347111381
BaseRepresentation
bin1000001101101…
…10110110001000
311210122210210000
410012312312020
5120120001001
610500523000
71464460140
oct406666610
9153583700
1068906376
1135994420
121b0b0460
1311377b06
149219920
1560b1a86
hex41b6d88

68906376 has 160 divisors (see below), whose sum is σ = 240799680. Its totient is φ = 17884800.

The previous prime is 68906359. The next prime is 68906399. The reversal of 68906376 is 67360986.

68906376 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 637 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49206 + ... + 50586.

It is an arithmetic number, because the mean of its divisors is an integer number (1504998).

Almost surely, 268906376 is an apocalyptic number.

68906376 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68906376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120399840).

68906376 is an abundant number, since it is smaller than the sum of its proper divisors (171893304).

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

68906376 is a wasteful number, since it uses less digits than its factorization.

68906376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 68906376 is about 8300.9864474049. The cubic root of 68906376 is about 409.9709993368.

The spelling of 68906376 in words is "sixty-eight million, nine hundred six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1381 1386 1512 1782 1848 2079 2268 2376 2762 2772 3564 4143 4158 4536 5524 5544 6237 7128 8286 8316 9667 11048 12429 12474 15191 16572 16632 19334 24858 24948 29001 30382 33144 37287 38668 45573 49716 49896 58002 60764 74574 77336 87003 91146 99432 106337 111861 116004 121528 136719 149148 174006 182292 212674 223722 232008 261009 273438 298296 319011 348012 364584 410157 425348 447444 522018 546876 638022 696024 783027 820314 850696 894888 957033 1044036 1093752 1230471 1276044 1566054 1640628 1914066 2088072 2460942 2552088 2871099 3132108 3281256 3828132 4921884 5742198 6264216 7656264 8613297 9843768 11484396 17226594 22968792 34453188 68906376