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68098464 = 25327171987
BaseRepresentation
bin1000000111100…
…01100110100000
311202010202112100
410003301212200
5114413122324
610431330400
71454553540
oct403614640
9152122470
1068098464
1135492425
121a980a00
1311154165
149089320
155ea24c9
hex40f19a0

68098464 has 144 divisors (see below), whose sum is σ = 234456768. Its totient is φ = 18302976.

The previous prime is 68098421. The next prime is 68098477. The reversal of 68098464 is 46489086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33279 + ... + 35265.

It is an arithmetic number, because the mean of its divisors is an integer number (1628172).

Almost surely, 268098464 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 68098464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117228384).

68098464 is an abundant number, since it is smaller than the sum of its proper divisors (166358304).

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

68098464 is a wasteful number, since it uses less digits than its factorization.

68098464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 68098464 is about 8252.1793485115. The cubic root of 68098464 is about 408.3624230653.

The spelling of 68098464 in words is "sixty-eight million, ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 1987 2016 2142 2448 2856 3808 3974 4284 4896 5712 5961 7948 8568 11424 11922 13909 15896 17136 17883 23844 27818 31792 33779 34272 35766 41727 47688 55636 63584 67558 71532 83454 95376 101337 111272 125181 135116 143064 166908 190752 202674 222544 236453 250362 270232 286128 304011 333816 405348 445088 472906 500724 540464 572256 608022 667632 709359 810696 945812 1001448 1080928 1216044 1335264 1418718 1621392 1891624 2002896 2128077 2432088 2837436 3242784 3783248 4005792 4256154 4864176 5674872 7566496 8512308 9728352 11349744 17024616 22699488 34049232 68098464