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153020417 = 1117818291
BaseRepresentation
bin10010001111011…
…10100000000001
3101122221020112212
421013232200001
5303133123132
623103431505
73535436444
oct1107564001
9348836485
10153020417
1179415560
12432b5595
1325918934
141647365b
15d6795b2
hex91ee801

153020417 has 8 divisors (see below), whose sum is σ = 176751072. Its totient is φ = 130926400.

The previous prime is 153020401. The next prime is 153020431. The reversal of 153020417 is 714020351.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 153020417 - 24 = 153020401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 153020392 and 153020401.

It is not an unprimeable number, because it can be changed into a prime (153020437) 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 7 ways as a sum of consecutive naturals, for example, 408959 + ... + 409332.

It is an arithmetic number, because the mean of its divisors is an integer number (22093884).

Almost surely, 2153020417 is an apocalyptic number.

153020417 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

153020417 is a deficient number, since it is larger than the sum of its proper divisors (23730655).

153020417 is a wasteful number, since it uses less digits than its factorization.

153020417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818319.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 153020417 is about 12370.1421576310. The cubic root of 153020417 is about 534.8719139027.

Adding to 153020417 its reverse (714020351), we get a palindrome (867040768).

The spelling of 153020417 in words is "one hundred fifty-three million, twenty thousand, four hundred seventeen".

Divisors: 1 11 17 187 818291 9001201 13910947 153020417