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920370042 = 232293747653
BaseRepresentation
bin110110110110111…
…011101101111010
32101010211122100100
4312312323231322
53341103320132
6231154420230
731544005404
oct6666735572
92333748310
10920370042
114325856a9
12218291676
131188a9377
148a33db74
1555c0237c
hex36dbbb7a

920370042 has 48 divisors (see below), whose sum is σ = 2118696840. Its totient is φ = 288199296.

The previous prime is 920370041. The next prime is 920370103. The reversal of 920370042 is 240073029.

It can be written as a sum of positive squares in 4 ways, for example, as 865595241 + 54774801 = 29421^2 + 7401^2 .

It is a super-2 number, since 2×9203700422 = 1694162028422163528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 920369988 and 920370015.

It is not an unprimeable number, because it can be changed into a prime (920370041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513 + ... + 43140.

Almost surely, 2920370042 is an apocalyptic number.

920370042 is an abundant number, since it is smaller than the sum of its proper divisors (1198326798).

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

920370042 is a wasteful number, since it uses less digits than its factorization.

920370042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47727 (or 47724 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 920370042 is about 30337.6011246769. The cubic root of 920370042 is about 972.7192068248.

The spelling of 920370042 in words is "nine hundred twenty million, three hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 37 58 74 87 111 174 222 261 333 522 666 1073 2146 3219 6438 9657 19314 47653 95306 142959 285918 428877 857754 1381937 1763161 2763874 3526322 4145811 5289483 8291622 10578966 12437433 15868449 24874866 31736898 51131669 102263338 153395007 306790014 460185021 920370042