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900241140 = 2235157227421
BaseRepresentation
bin110101101010001…
…001011011110100
32022201221222200110
4311222021123310
53320430204030
6225155143020
731210631511
oct6552113364
92281858613
10900241140
11422187547
122115a4a70
1311467c386
14877c0308
15540781b0
hex35a896f4

900241140 has 96 divisors (see below), whose sum is σ = 2553957504. Its totient is φ = 236920320.

The previous prime is 900241129. The next prime is 900241159. The reversal of 900241140 is 41142009.

It is a super-2 number, since 2×9002411402 = 1620868220296999200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2138130 + ... + 2138550.

It is an arithmetic number, because the mean of its divisors is an integer number (26603724).

Almost surely, 2900241140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276978752).

900241140 is an abundant number, since it is smaller than the sum of its proper divisors (1653716364).

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

900241140 is a wasteful number, since it uses less digits than its factorization.

900241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 900241140 is about 30004.0187308300. The cubic root of 900241140 is about 965.5756058353.

Adding to 900241140 its reverse (41142009), we get a palindrome (941383149).

The spelling of 900241140 in words is "nine hundred million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 227 314 421 454 471 628 681 785 842 908 942 1135 1263 1362 1570 1684 1884 2105 2270 2355 2526 2724 3140 3405 4210 4540 4710 5052 6315 6810 8420 9420 12630 13620 25260 35639 66097 71278 95567 106917 132194 142556 178195 191134 198291 213834 264388 286701 330485 356390 382268 396582 427668 477835 534585 573402 660970 712780 793164 955670 991455 1069170 1146804 1321940 1433505 1911340 1982910 2138340 2867010 3965820 5734020 15004019 30008038 45012057 60016076 75020095 90024114 150040190 180048228 225060285 300080380 450120570 900241140