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3910000900 = 2252134372
BaseRepresentation
bin1110100100001101…
…1110000100000100
3101002111100121220011
43221003132010010
531001430012100
61443552520004
7165615313351
oct35103360404
911074317804
103910000900
111727103603
12911550004
134a40a0000
14291407628
1517d3e8bba
hexe90de104

3910000900 has 135 divisors (see below), whose sum is σ = 9446875179. Its totient is φ = 1404673920.

The previous prime is 3910000837. The next prime is 3910000903. The reversal of 3910000900 is 90000193.

The square root of 3910000900 is 62530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 3114309636 + 795691264 = 55806^2 + 28208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3910000903) 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 44 ways as a sum of consecutive naturals, for example, 105675682 + ... + 105675718.

Almost surely, 23910000900 is an apocalyptic number.

3910000900 is the 62530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3910000900

3910000900 is an abundant number, since it is smaller than the sum of its proper divisors (5536874279).

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

3910000900 is an equidigital number, since it uses as much as digits as its factorization.

3910000900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 22.

The cubic root of 3910000900 is about 1575.4052404797.

The spelling of 3910000900 in words is "three billion, nine hundred ten million, nine hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 169 185 260 325 338 370 481 650 676 740 845 925 962 1300 1369 1690 1850 1924 2197 2405 2738 3380 3700 4225 4394 4810 5476 6253 6845 8450 8788 9620 10985 12025 12506 13690 16900 17797 21970 24050 25012 27380 28561 31265 34225 35594 43940 48100 54925 57122 62530 68450 71188 81289 88985 109850 114244 125060 136900 142805 156325 162578 177970 219700 231361 285610 312650 325156 355940 406445 444925 462722 571220 625300 714025 812890 889850 925444 1056757 1156805 1428050 1625780 1779700 2032225 2113514 2313610 2856100 3007693 4064450 4227028 4627220 5283785 5784025 6015386 8128900 10567570 11568050 12030772 15038465 21135140 23136100 26418925 30076930 39100009 52837850 60153860 75192325 78200018 105675700 150384650 156400036 195500045 300769300 391000090 782000180 977500225 1955000450 3910000900