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68053360 = 2453783277
BaseRepresentation
bin1000000111001…
…10100101110000
311202001110122211
410003212211300
5114410201420
610430341504
71454305204
oct403464560
9152043584
1068053360
1135461551
121a95a894
131113977b
149076b04
155e93e5a
hex40e6970

68053360 has 80 divisors (see below), whose sum is σ = 165051936. Its totient is φ = 26072064.

The previous prime is 68053333. The next prime is 68053393. The reversal of 68053360 is 6335086.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245542 + ... + 245818.

Almost surely, 268053360 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 68053360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82525968).

68053360 is an abundant number, since it is smaller than the sum of its proper divisors (96998576).

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

68053360 is a wasteful number, since it uses less digits than its factorization.

68053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 68053360 is about 8249.4460420079. The cubic root of 68053360 is about 408.2722455702.

The spelling of 68053360 in words is "sixty-eight million, fifty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 83 148 166 185 277 296 332 370 415 554 592 664 740 830 1108 1328 1385 1480 1660 2216 2770 2960 3071 3320 4432 5540 6142 6640 10249 11080 12284 15355 20498 22160 22991 24568 30710 40996 45982 49136 51245 61420 81992 91964 102490 114955 122840 163984 183928 204980 229910 245680 367856 409960 459820 819920 850667 919640 1701334 1839280 3402668 4253335 6805336 8506670 13610672 17013340 34026680 68053360