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1530822090 = 235737271727
BaseRepresentation
bin101101100111110…
…0111110111001010
310221200111211010110
41123033213313022
511113342301330
6411522455150
752635526110
oct13317476712
93850454113
101530822090
11716122326
123688044b6
131b51c44b5
14107447ab0
158e5d6db0
hex5b3e7dca

1530822090 has 128 divisors (see below), whose sum is σ = 4334174208. Its totient is φ = 338722560.

The previous prime is 1530822089. The next prime is 1530822107. The reversal of 1530822090 is 902280351.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105307 + ... + 2106033.

It is an arithmetic number, because the mean of its divisors is an integer number (33860736).

Almost surely, 21530822090 is an apocalyptic number.

1530822090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1530822090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167087104).

1530822090 is an abundant number, since it is smaller than the sum of its proper divisors (2803352118).

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

1530822090 is a wasteful number, since it uses less digits than its factorization.

1530822090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1530822090 is about 39125.7215907899. The cubic root of 1530822090 is about 1152.5016969278.

The spelling of 1530822090 in words is "one billion, five hundred thirty million, eight hundred twenty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 70 74 105 111 185 210 222 259 271 370 518 542 555 727 777 813 1110 1295 1355 1454 1554 1626 1897 2181 2590 2710 3635 3794 3885 4065 4362 5089 5691 7270 7770 8130 9485 10027 10178 10905 11382 15267 18970 20054 21810 25445 26899 28455 30081 30534 50135 50890 53798 56910 60162 70189 76335 80697 100270 134495 140378 150405 152670 161394 188293 197017 210567 268990 300810 350945 376586 394034 403485 421134 564879 591051 701890 806970 941465 985085 1052835 1129758 1182102 1379119 1882930 1970170 2105670 2758238 2824395 2955255 4137357 5648790 5910510 6895595 7289629 8274714 13791190 14579258 20686785 21868887 36448145 41373570 43737774 51027403 72896290 102054806 109344435 153082209 218688870 255137015 306164418 510274030 765411045 1530822090