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10120608 = 253235141
BaseRepresentation
bin100110100110…
…110110100000
3201001011212100
4212212312200
510042324413
61000530400
7152011101
oct46466640
921034770
1010120608
115792843
123480a00
132134734
1414b63a8
15d4da73
hex9a6da0

10120608 has 36 divisors (see below), whose sum is σ = 28781298. Its totient is φ = 3373440.

The previous prime is 10120603. The next prime is 10120631. The reversal of 10120608 is 80602101.

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 1192464 = 2988^2 + 1092^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10120603) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 17283 + ... + 17858.

Almost surely, 210120608 is an apocalyptic number.

10120608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10120608 is an abundant number, since it is smaller than the sum of its proper divisors (18660690).

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

10120608 is a wasteful number, since it uses less digits than its factorization.

10120608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35157 (or 35146 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10120608 is about 3181.2903042634. The cubic root of 10120608 is about 216.3061502314.

Adding to 10120608 its reverse (80602101), we get a palindrome (90722709).

The spelling of 10120608 in words is "ten million, one hundred twenty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35141 70282 105423 140564 210846 281128 316269 421692 562256 632538 843384 1124512 1265076 1686768 2530152 3373536 5060304 10120608