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102703400 = 2352539689
BaseRepresentation
bin1100001111100…
…10000100101000
321011020212120122
412013302010220
5202243002100
614105142412
72354651552
oct607620450
9234225518
10102703400
1152a78648
122a48aa08
131837c157
14d8d64d2
15903a985
hex61f2128

102703400 has 48 divisors (see below), whose sum is σ = 243315900. Its totient is φ = 40302080.

The previous prime is 102703373. The next prime is 102703423. The reversal of 102703400 is 4307201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 51523684 + 51179716 = 7178^2 + 7154^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5756 + ... + 15444.

Almost surely, 2102703400 is an apocalyptic number.

102703400 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 102703400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121657950).

102703400 is an abundant number, since it is smaller than the sum of its proper divisors (140612500).

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

102703400 is a wasteful number, since it uses less digits than its factorization.

102703400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9758 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 102703400 is about 10134.2685971904. The cubic root of 102703400 is about 468.3044382432.

The spelling of 102703400 in words is "one hundred two million, seven hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 9689 10600 19378 38756 48445 77512 96890 193780 242225 387560 484450 513517 968900 1027034 1937800 2054068 2567585 4108136 5135170 10270340 12837925 20540680 25675850 51351700 102703400