Search a number
-
+
68177376 = 253429907
BaseRepresentation
bin1000001000001…
…00110111100000
311202021202210000
410010010313200
5114423134001
610433140000
71455332601
oct404046740
9152252700
1068177376
1135536743
121a9ba600
1311181057
1490a9da8
155ebaa86
hex4104de0

68177376 has 120 divisors (see below), whose sum is σ = 207650520. Its totient is φ = 21917952.

The previous prime is 68177363. The next prime is 68177381. The reversal of 68177376 is 67377186.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74715 + ... + 75621.

It is an arithmetic number, because the mean of its divisors is an integer number (1730421).

Almost surely, 268177376 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 68177376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103825260).

68177376 is an abundant number, since it is smaller than the sum of its proper divisors (139473144).

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

68177376 is a wasteful number, since it uses less digits than its factorization.

68177376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 941 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 68177376 is about 8256.9592465992. The cubic root of 68177376 is about 408.5200979691.

The spelling of 68177376 in words is "sixty-eight million, one hundred seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 864 907 928 1044 1296 1392 1566 1814 2088 2349 2592 2721 2784 3132 3628 4176 4698 5442 6264 7256 8163 8352 9396 10884 12528 14512 16326 18792 21768 24489 25056 26303 29024 32652 37584 43536 48978 52606 65304 73467 75168 78909 87072 97956 105212 130608 146934 157818 195912 210424 236727 261216 293868 315636 391824 420848 473454 587736 631272 710181 783648 841696 946908 1175472 1262544 1420362 1893816 2130543 2350944 2525088 2840724 3787632 4261086 5681448 7575264 8522172 11362896 17044344 22725792 34088688 68177376