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103091808 = 25317181349
BaseRepresentation
bin1100010010100…
…00111001100000
321011222121101010
412021100321200
5202342414213
614121340520
72361160131
oct611207140
9234877333
10103091808
1153213446
122a637740
1318486b91
14d997c88
1590b5ac3
hex6250e60

103091808 has 96 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 32071680.

The previous prime is 103091801. The next prime is 103091827. The reversal of 103091808 is 808190301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103091801) 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, 295218 + ... + 295566.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2103091808 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 103091808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

103091808 is an abundant number, since it is smaller than the sum of its proper divisors (185851392).

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

103091808 is a wasteful number, since it uses less digits than its factorization.

103091808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 103091808 is about 10153.4136131648. The cubic root of 103091808 is about 468.8940466811.

The spelling of 103091808 in words is "one hundred three million, ninety-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 181 204 272 349 362 408 543 544 698 724 816 1047 1086 1396 1448 1632 2094 2172 2792 2896 3077 4188 4344 5584 5792 5933 6154 8376 8688 9231 11168 11866 12308 16752 17376 17799 18462 23732 24616 33504 35598 36924 47464 49232 63169 71196 73848 94928 98464 126338 142392 147696 189507 189856 252676 284784 295392 379014 505352 569568 758028 1010704 1073873 1516056 2021408 2147746 3032112 3221619 4295492 6064224 6443238 8590984 12886476 17181968 25772952 34363936 51545904 103091808