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103644060 = 223513891493
BaseRepresentation
bin1100010110101…
…11101110011100
321020000122220220
412023113232130
5203013102220
614141241340
72365650162
oct613275634
9236018826
10103644060
1153560353
122a863250
131861b360
14da9d232
159174540
hex62d7b9c

103644060 has 96 divisors (see below), whose sum is σ = 316249920. Its totient is φ = 25208832.

The previous prime is 103644029. The next prime is 103644077. The reversal of 103644060 is 60446301.

It is a self number, because there is not a number n which added to its sum of digits gives 103644060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68674 + ... + 70166.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270).

Almost surely, 2103644060 is an apocalyptic number.

103644060 is a gapful number since it is divisible by the number (10) 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 103644060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158124960).

103644060 is an abundant number, since it is smaller than the sum of its proper divisors (212605860).

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

103644060 is a wasteful number, since it uses less digits than its factorization.

103644060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103644060 is about 10180.5726754441. The cubic root of 103644060 is about 469.7298281271.

The spelling of 103644060 in words is "one hundred three million, six hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 89 130 156 178 195 260 267 356 390 445 534 780 890 1068 1157 1335 1493 1780 2314 2670 2986 3471 4479 4628 5340 5785 5972 6942 7465 8958 11570 13884 14930 17355 17916 19409 22395 23140 29860 34710 38818 44790 58227 69420 77636 89580 97045 116454 132877 194090 232908 265754 291135 388180 398631 531508 582270 664385 797262 1164540 1328770 1594524 1727401 1993155 2657540 3454802 3986310 5182203 6909604 7972620 8637005 10364406 17274010 20728812 25911015 34548020 51822030 103644060