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154950820 = 22537209393
BaseRepresentation
bin10010011110001…
…01110010100100
3101210120022120021
421033011302210
5304131411240
623213044524
73561026443
oct1117056244
9353508507
10154950820
117a513932
1243a86744
132614349b
1416816d5a
15d90b54a
hex93c5ca4

154950820 has 24 divisors (see below), whose sum is σ = 334192824. Its totient is φ = 60304896.

The previous prime is 154950781. The next prime is 154950823. The reversal of 154950820 is 28059451.

154950820 is digitally balanced in base 3, 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 51236964 + 103713856 = 7158^2 + 10184^2 .

It is not an unprimeable number, because it can be changed into a prime (154950823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103957 + ... + 105436.

It is an arithmetic number, because the mean of its divisors is an integer number (13924701).

Almost surely, 2154950820 is an apocalyptic number.

154950820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

154950820 is an abundant number, since it is smaller than the sum of its proper divisors (179242004).

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

154950820 is a wasteful number, since it uses less digits than its factorization.

154950820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209439 (or 209437 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 154950820 is about 12447.9243249628. The cubic root of 154950820 is about 537.1117166921. Note that the first 3 decimals are identical.

The spelling of 154950820 in words is "one hundred fifty-four million, nine hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 209393 418786 837572 1046965 2093930 4187860 7747541 15495082 30990164 38737705 77475410 154950820