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152262020 = 2257613101
BaseRepresentation
bin10010001001101…
…01010110000100
3101121111201020002
421010311112010
5302434341040
623035300432
73526130411
oct1104652604
9347451202
10152262020
1178a47789
1242baa718
1325711691
1416317108
15d579a15
hex9135584

152262020 has 12 divisors (see below), whose sum is σ = 319750284. Its totient is φ = 60904800.

The previous prime is 152262007. The next prime is 152262023. The reversal of 152262020 is 20262251.

It can be written as a sum of positive squares in 2 ways, for example, as 62694724 + 89567296 = 7918^2 + 9464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 7613101 = 152262020 / (1 + 5 + 2 + 2 + 6 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 152261983 and 152262001.

It is not an unprimeable number, because it can be changed into a prime (152262023) 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 3 ways as a sum of consecutive naturals, for example, 3806531 + ... + 3806570.

It is an arithmetic number, because the mean of its divisors is an integer number (26645857).

Almost surely, 2152262020 is an apocalyptic number.

152262020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152262020 is an abundant number, since it is smaller than the sum of its proper divisors (167488264).

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

152262020 is a wasteful number, since it uses less digits than its factorization.

152262020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7613110 (or 7613108 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 152262020 is about 12339.4497446199. The cubic root of 152262020 is about 533.9868092334.

The spelling of 152262020 in words is "one hundred fifty-two million, two hundred sixty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 7613101 15226202 30452404 38065505 76131010 152262020