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104664144 = 24313414091
BaseRepresentation
bin1100011110100…
…00110001010000
321021221111012210
412033100301100
5203243223034
614215152120
72410426164
oct617206120
9237844183
10104664144
11540977a2
122b075640
13188b7760
14dc86ca4
1592c68e9
hex63d0c50

104664144 has 80 divisors (see below), whose sum is σ = 298355904. Its totient is φ = 31411200.

The previous prime is 104664137. The next prime is 104664163. The reversal of 104664144 is 441466401.

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, 23539 + ... + 27629.

Almost surely, 2104664144 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 104664144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149177952).

104664144 is an abundant number, since it is smaller than the sum of its proper divisors (193691760).

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

104664144 is a wasteful number, since it uses less digits than its factorization.

104664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 104664144 is about 10230.5495453568. The cubic root of 104664144 is about 471.2658557426.

The spelling of 104664144 in words is "one hundred four million, six hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 208 246 312 328 492 533 624 656 984 1066 1599 1968 2132 3198 4091 4264 6396 8182 8528 12273 12792 16364 24546 25584 32728 49092 53183 65456 98184 106366 159549 167731 196368 212732 319098 335462 425464 503193 638196 670924 850928 1006386 1276392 1341848 2012772 2180503 2552784 2683696 4025544 4361006 6541509 8051088 8722012 13083018 17444024 26166036 34888048 52332072 104664144