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1000541420 = 225375397263
BaseRepresentation
bin111011101000110…
…000110011101100
32120201200202210122
4323220300303230
54022114311140
6243141024112
733536314244
oct7350606354
92521622718
101000541420
1147386363a
1223b0b5038
1312c399758
1496c4cb24
155cc8bab5
hex3ba30cec

1000541420 has 96 divisors (see below), whose sum is σ = 2229752448. Its totient is φ = 376676352.

The previous prime is 1000541417. The next prime is 1000541513. The reversal of 1000541420 is 241450001.

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, 3804209 + ... + 3804471.

It is an arithmetic number, because the mean of its divisors is an integer number (23226588).

Almost surely, 21000541420 is an apocalyptic number.

1000541420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114876224).

1000541420 is an abundant number, since it is smaller than the sum of its proper divisors (1229211028).

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

1000541420 is a wasteful number, since it uses less digits than its factorization.

1000541420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1000541420 is about 31631.3360451309. The cubic root of 1000541420 is about 1000.1804407725.

Adding to 1000541420 its reverse (241450001), we get a palindrome (1241991421).

The spelling of 1000541420 in words is "one billion, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 53 74 97 106 148 185 194 212 263 265 370 388 485 526 530 740 970 1052 1060 1315 1940 1961 2630 3589 3922 5141 5260 7178 7844 9731 9805 10282 13939 14356 17945 19462 19610 20564 25511 25705 27878 35890 38924 39220 48655 51022 51410 55756 69695 71780 97310 102044 102820 127555 139390 190217 194620 255110 278780 380434 510220 515743 760868 943907 951085 1031486 1352083 1887814 1902170 2062972 2578715 2704166 3775628 3804340 4719535 5157430 5408332 6760415 9439070 10314860 13520830 18878140 27041660 50027071 100054142 200108284 250135355 500270710 1000541420