Search a number
-
+
68279520 = 2535592411
BaseRepresentation
bin1000001000111…
…01110011100000
311202110221220010
410010131303200
5114434421040
610435244520
71456236441
oct404356340
9152427803
1068279520
11355a6461
121aa49740
13111b86aa
1490d52c8
155edae80
hex411dce0

68279520 has 96 divisors (see below), whose sum is σ = 218816640. Its totient is φ = 17891840.

The previous prime is 68279513. The next prime is 68279551. The reversal of 68279520 is 2597286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 27115 + ... + 29525.

It is an arithmetic number, because the mean of its divisors is an integer number (2279340).

Almost surely, 268279520 is an apocalyptic number.

68279520 is a gapful number since it is divisible by the number (60) 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 68279520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109408320).

68279520 is an abundant number, since it is smaller than the sum of its proper divisors (150537120).

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

68279520 is a wasteful number, since it uses less digits than its factorization.

68279520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2488 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 68279520 is about 8263.1422594555. The cubic root of 68279520 is about 408.7240124132.

The spelling of 68279520 in words is "sixty-eight million, two hundred seventy-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2360 2411 2832 3540 4720 4822 5664 7080 7233 9440 9644 12055 14160 14466 19288 24110 28320 28932 36165 38576 48220 57864 72330 77152 96440 115728 142249 144660 192880 231456 284498 289320 385760 426747 568996 578640 711245 853494 1137992 1157280 1422490 1706988 2133735 2275984 2844980 3413976 4267470 4551968 5689960 6827952 8534940 11379920 13655904 17069880 22759840 34139760 68279520