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8900153130 = 2351161343997
BaseRepresentation
bin10000100100111110…
…11000111100101010
3211222021012121212010
420102133120330222
5121211414400010
64031053100350
7433361024211
oct102237307452
924867177763
108900153130
1138579a4860
1218847876b6
13abab913cb
14606064078
15371557620
hex2127d8f2a

8900153130 has 64 divisors (see below), whose sum is σ = 23340763008. Its totient is φ = 2154044160.

The previous prime is 8900153113. The next prime is 8900153137. The reversal of 8900153130 is 313510098.

It is a happy number.

8900153130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8900153137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180292 + ... + 224288.

It is an arithmetic number, because the mean of its divisors is an integer number (364699422).

Almost surely, 28900153130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8900153130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11670381504).

8900153130 is an abundant number, since it is smaller than the sum of its proper divisors (14440609878).

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

8900153130 is a wasteful number, since it uses less digits than its factorization.

8900153130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44631.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 8900153130 is about 94340.6229044519. The cubic root of 8900153130 is about 2072.3629833515.

The spelling of 8900153130 in words is "eight billion, nine hundred million, one hundred fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 613 1226 1839 3065 3678 6130 6743 9195 13486 18390 20229 33715 40458 43997 67430 87994 101145 131991 202290 219985 263982 439970 483967 659955 967934 1319910 1451901 2419835 2903802 4839670 7259505 14519010 26970161 53940322 80910483 134850805 161820966 269701610 296671771 404552415 593343542 809104830 890015313 1483358855 1780030626 2966717710 4450076565 8900153130