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920357129 = 3744575581
BaseRepresentation
bin110110110110111…
…000100100001001
32101010210222122002
4312312320210021
53341102412004
6231154240345
731543622636
oct6666704411
92333728562
10920357129
11432576a2a
122182860b5
131188a3523
148a33918d
1555bed61e
hex36db8909

920357129 has 8 divisors (see below), whose sum is σ = 945613128. Its totient is φ = 895121280.

The previous prime is 920357117. The next prime is 920357173. The reversal of 920357129 is 921753029.

920357129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 318979600 + 601377529 = 17860^2 + 24523^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 920357129 - 212 = 920353033 is a prime.

It is a super-2 number, since 2×9203571292 = 1694114489802245282, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 920357092 and 920357101.

It is not an unprimeable number, because it can be changed into a prime (920357329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162119 + ... + 167699.

It is an arithmetic number, because the mean of its divisors is an integer number (118201641).

Almost surely, 2920357129 is an apocalyptic number.

It is an amenable number.

920357129 is a deficient number, since it is larger than the sum of its proper divisors (25255999).

920357129 is a wasteful number, since it uses less digits than its factorization.

920357129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075.

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 920357129 is about 30337.3883022254. The cubic root of 920357129 is about 972.7146576467.

The spelling of 920357129 in words is "nine hundred twenty million, three hundred fifty-seven thousand, one hundred twenty-nine".

Divisors: 1 37 4457 5581 164909 206497 24874517 920357129