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68462320 = 2451973617
BaseRepresentation
bin1000001010010…
…10011011110000
311202211020122111
410011022123300
5120011243240
610443215104
71460630413
oct405123360
9152736574
1068462320
1135710833
121ab17494
1311250964
149141b7a
1560251ea
hex414a6f0

68462320 has 80 divisors (see below), whose sum is σ = 170123040. Its totient is φ = 25546752.

The previous prime is 68462299. The next prime is 68462327. The reversal of 68462320 is 2326486.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68462327) by changing a digit.

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, 110652 + ... + 111268.

It is an arithmetic number, because the mean of its divisors is an integer number (2126538).

Almost surely, 268462320 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 68462320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85061520).

68462320 is an abundant number, since it is smaller than the sum of its proper divisors (101660720).

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

68462320 is a wasteful number, since it uses less digits than its factorization.

68462320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 68462320 is about 8274.1960334524. The cubic root of 68462320 is about 409.0884368276.

The spelling of 68462320 in words is "sixty-eight million, four hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 73 76 80 95 146 152 190 292 304 365 380 584 617 730 760 1168 1234 1387 1460 1520 2468 2774 2920 3085 4936 5548 5840 6170 6935 9872 11096 11723 12340 13870 22192 23446 24680 27740 45041 46892 49360 55480 58615 90082 93784 110960 117230 180164 187568 225205 234460 360328 450410 468920 720656 855779 900820 937840 1711558 1801640 3423116 3603280 4278895 6846232 8557790 13692464 17115580 34231160 68462320