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102663808 = 2713103599
BaseRepresentation
bin1100001111010…
…00011010000000
321011011212021021
412013220122000
5202240220213
614104235224
72354425252
oct607503200
9234155237
10102663808
1152a50925
122a46bb14
1318367120
14d8c5cd2
15902dd8d
hex61e8680

102663808 has 64 divisors (see below), whose sum is σ = 222768000. Its totient is φ = 46844928.

The previous prime is 102663787. The next prime is 102663817. The reversal of 102663808 is 808366201.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171093 + ... + 171691.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2102663808 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 102663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111384000).

102663808 is an abundant number, since it is smaller than the sum of its proper divisors (120104192).

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

102663808 is a wasteful number, since it uses less digits than its factorization.

102663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 102663808 is about 10132.3150365551. The cubic root of 102663808 is about 468.2442536328.

The spelling of 102663808 in words is "one hundred two million, six hundred sixty-three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 206 208 412 416 599 824 832 1198 1339 1648 1664 2396 2678 3296 4792 5356 6592 7787 9584 10712 13184 15574 19168 21424 31148 38336 42848 61697 62296 76672 85696 123394 124592 171392 246788 249184 493576 498368 802061 987152 996736 1604122 1974304 3208244 3948608 6416488 7897216 12832976 25665952 51331904 102663808