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103019664 = 24311593307
BaseRepresentation
bin1100010001111…
…11010010010000
321011211221102010
412020333102100
5202333112124
614120022520
72360436606
oct610772220
9234757363
10103019664
1153174220
122a601a40
13184600a7
14d979876
15909e529
hex623f490

103019664 has 80 divisors (see below), whose sum is σ = 295338240. Its totient is φ = 30679680.

The previous prime is 103019663. The next prime is 103019671. The reversal of 103019664 is 466910301.

It is a super-2 number, since 2×1030196642 = 21226102341345792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103019663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29499 + ... + 32805.

It is an arithmetic number, because the mean of its divisors is an integer number (3691728).

Almost surely, 2103019664 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 103019664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147669120).

103019664 is an abundant number, since it is smaller than the sum of its proper divisors (192318576).

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

103019664 is a wasteful number, since it uses less digits than its factorization.

103019664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 103019664 is about 10149.8602946050. The cubic root of 103019664 is about 468.7846432707.

Adding to 103019664 its reverse (466910301), we get a palindrome (569929965).

The spelling of 103019664 in words is "one hundred three million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3307 3894 5192 6614 7788 9921 10384 13228 15576 19842 26456 31152 36377 39684 52912 72754 79368 109131 145508 158736 195113 218262 291016 390226 436524 582032 585339 780452 873048 1170678 1560904 1746096 2146243 2341356 3121808 4292486 4682712 6438729 8584972 9365424 12877458 17169944 25754916 34339888 51509832 103019664