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102903808 = 21273797
BaseRepresentation
bin1100010001000…
…11000000000000
321011122001111011
412020203000000
5202320410213
614113330304
72356445050
oct610430000
9234561434
10102903808
11530a5177
122a566994
131841c437
14d949560
15907a03d
hex6223000

102903808 has 104 divisors (see below), whose sum is σ = 244026272. Its totient is φ = 42467328.

The previous prime is 102903799. The next prime is 102903811. The reversal of 102903808 is 808309201.

It is a self number, because there is not a number n which added to its sum of digits gives 102903808.

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, 1060816 + ... + 1060912.

Almost surely, 2102903808 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 102903808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122013136).

102903808 is an abundant number, since it is smaller than the sum of its proper divisors (141122464).

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

102903808 is an frugal number, since it uses more digits than its factorization.

102903808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 102903808 is about 10144.1514184283. The cubic root of 102903808 is about 468.6088454866.

The spelling of 102903808 in words is "one hundred two million, nine hundred three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 97 112 128 148 194 224 256 259 296 388 448 512 518 592 679 776 896 1024 1036 1184 1358 1552 1792 2048 2072 2368 2716 3104 3584 3589 4096 4144 4736 5432 6208 7168 7178 8288 9472 10864 12416 14336 14356 16576 18944 21728 24832 25123 28672 28712 33152 37888 43456 49664 50246 57424 66304 75776 86912 99328 100492 114848 132608 151552 173824 198656 200984 229696 265216 347648 397312 401968 459392 530432 695296 803936 918784 1060864 1390592 1607872 1837568 2781184 3215744 3675136 6431488 7350272 12862976 14700544 25725952 51451904 102903808