Search a number
-
+
68891004 = 2232713171237
BaseRepresentation
bin1000001101100…
…11000101111100
311210122000200200
410012303011330
5120114003004
610500323500
71464364260
oct406630574
9153560620
1068891004
1135983916
121b0a3590
1311370b10
1492140a0
1560ac239
hex41b317c

68891004 has 144 divisors (see below), whose sum is σ = 227118528. Its totient is φ = 17086464.

The previous prime is 68890999. The next prime is 68891027. The reversal of 68891004 is 40019886.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 68891004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55074 + ... + 56310.

It is an arithmetic number, because the mean of its divisors is an integer number (1577212).

Almost surely, 268891004 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 68891004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113559264).

68891004 is an abundant number, since it is smaller than the sum of its proper divisors (158227524).

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

68891004 is a wasteful number, since it uses less digits than its factorization.

68891004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68891004 is about 8300.0604817073. The cubic root of 68891004 is about 409.9405109008.

The spelling of 68891004 in words is "sixty-eight million, eight hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 7 9 12 13 14 17 18 21 26 28 34 36 39 42 51 52 63 68 78 84 91 102 117 119 126 153 156 182 204 221 234 238 252 273 306 357 364 442 468 476 546 612 663 714 819 884 1071 1092 1237 1326 1428 1547 1638 1989 2142 2474 2652 3094 3276 3711 3978 4284 4641 4948 6188 7422 7956 8659 9282 11133 13923 14844 16081 17318 18564 21029 22266 25977 27846 32162 34636 42058 44532 48243 51954 55692 63087 64324 77931 84116 96486 103908 112567 126174 144729 147203 155862 189261 192972 225134 252348 273377 289458 294406 311724 337701 378522 441609 450268 546754 578916 588812 675402 757044 820131 883218 1013103 1093508 1324827 1350804 1640262 1766436 1913639 2026206 2460393 2649654 3280524 3827278 4052412 4920786 5299308 5740917 7654556 9841572 11481834 17222751 22963668 34445502 68891004