Search a number
-
+
68079360 = 283517729
BaseRepresentation
bin1000000111011…
…00111100000000
311202002210022210
410003230330000
5114412014420
610431102120
71454444046
oct403547400
9152083283
1068079360
113547a038
121a971940
131114855b
149082396
155e9b9e0
hex40ecf00

68079360 has 72 divisors (see below), whose sum is σ = 217440720. Its totient is φ = 18153472.

The previous prime is 68079331. The next prime is 68079377. The reversal of 68079360 is 6397086.

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, 5025 + ... + 12704.

It is an arithmetic number, because the mean of its divisors is an integer number (3020010).

Almost surely, 268079360 is an apocalyptic number.

68079360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68079360 is an abundant number, since it is smaller than the sum of its proper divisors (149361360).

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

68079360 is a wasteful number, since it uses less digits than its factorization.

68079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17753 (or 17739 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 68079360 is about 8251.0217549101. The cubic root of 68079360 is about 408.3242328482.

The spelling of 68079360 in words is "sixty-eight million, seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 17729 35458 53187 70916 88645 106374 141832 177290 212748 265935 283664 354580 425496 531870 567328 709160 850992 1063740 1134656 1418320 1701984 2127480 2269312 2836640 3403968 4254960 4538624 5673280 6807936 8509920 11346560 13615872 17019840 22693120 34039680 68079360