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65000104 = 23132131367
BaseRepresentation
bin1111011111110…
…1001010101000
311112022100101021
43313331022220
5113120000404
610241102224
71416330451
oct367751250
9145270337
1065000104
11337665a4
1219927974
131060ab00
1488c0128
155a8e454
hex3dfd2a8

65000104 has 48 divisors (see below), whose sum is σ = 133341120. Its totient is φ = 29689920.

The previous prime is 65000081. The next prime is 65000119. The reversal of 65000104 is 40100056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176929 + ... + 177295.

It is an arithmetic number, because the mean of its divisors is an integer number (2777940).

Almost surely, 265000104 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 65000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66670560).

65000104 is an abundant number, since it is smaller than the sum of its proper divisors (68341016).

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

65000104 is a wasteful number, since it uses less digits than its factorization.

65000104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 65000104 is about 8062.2641981022. The cubic root of 65000104 is about 402.0727902975.

It can be divided in two parts, 65000 and 104, that multiplied together give a square (6760000 = 26002).

The spelling of 65000104 in words is "sixty-five million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 104 131 169 262 338 367 524 676 734 1048 1352 1468 1703 2936 3406 4771 6812 9542 13624 19084 22139 38168 44278 48077 62023 88556 96154 124046 177112 192308 248092 384616 496184 625001 1250002 2500004 5000008 8125013 16250026 32500052 65000104