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68191104 = 273311571
BaseRepresentation
bin1000001000010…
…00001110000000
311202022110121110
410010020032000
5114424103404
610433323320
71455420612
oct404101600
9152273543
1068191104
1135545a93
121aa06540
1311187387
1490b0db2
155ebeb89
hex4108380

68191104 has 64 divisors (see below), whose sum is σ = 182033280. Its totient is φ = 22617600.

The previous prime is 68191099. The next prime is 68191121. The reversal of 68191104 is 40119186.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119139 + ... + 119709.

It is an arithmetic number, because the mean of its divisors is an integer number (2844270).

Almost surely, 268191104 is an apocalyptic number.

68191104 is a gapful number since it is divisible by the number (64) 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 68191104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91016640).

68191104 is an abundant number, since it is smaller than the sum of its proper divisors (113842176).

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

68191104 is a wasteful number, since it uses less digits than its factorization.

68191104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 68191104 is about 8257.7905035185. The cubic root of 68191104 is about 408.5475156056.

The spelling of 68191104 in words is "sixty-eight million, one hundred ninety-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 571 622 933 1142 1244 1713 1866 2284 2488 3426 3732 4568 4976 6852 7464 9136 9952 13704 14928 18272 19904 27408 29856 36544 39808 54816 59712 73088 109632 119424 177581 219264 355162 532743 710324 1065486 1420648 2130972 2841296 4261944 5682592 8523888 11365184 17047776 22730368 34095552 68191104