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68826300 = 22352613761
BaseRepresentation
bin1000001101000…
…11010010111100
311210111201221020
410012203102330
5120104420200
610455104140
71464004524
oct406432274
9153451836
1068826300
113593a244
121b072050
131134a52a
1491d8684
156097ea0
hex41a34bc

68826300 has 72 divisors (see below), whose sum is σ = 202455792. Its totient is φ = 18048000.

The previous prime is 68826287. The next prime is 68826313. The reversal of 68826300 is 362886.

It is an interprime number because it is at equal distance from previous prime (68826287) and next prime (68826313).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16420 + ... + 20180.

It is an arithmetic number, because the mean of its divisors is an integer number (2811886).

Almost surely, 268826300 is an apocalyptic number.

68826300 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 68826300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227896).

68826300 is an abundant number, since it is smaller than the sum of its proper divisors (133629492).

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

68826300 is a wasteful number, since it uses less digits than its factorization.

68826300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68826300 is about 8296.1617631288. The cubic root of 68826300 is about 409.8121288778.

The spelling of 68826300 in words is "sixty-eight million, eight hundred twenty-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 3761 4575 6100 7522 9150 11283 15044 18300 18805 22566 37610 45132 56415 75220 94025 112830 188050 225660 229421 282075 376100 458842 564150 688263 917684 1128300 1147105 1376526 2294210 2753052 3441315 4588420 5735525 6882630 11471050 13765260 17206575 22942100 34413150 68826300