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1000541040 = 243541101681
BaseRepresentation
bin111011101000110…
…000101101110000
32120201200202021120
4323220300231300
54022114303130
6243141022240
733536313162
oct7350605560
92521622246
101000541040
11473863324
1223b0b4980
1312c399525
1496c4c932
155cc8b910
hex3ba30b70

1000541040 has 80 divisors (see below), whose sum is σ = 3177359136. Its totient is φ = 260300800.

The previous prime is 1000541039. The next prime is 1000541041. The reversal of 1000541040 is 401450001.

1000541040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1000541039) and next prime (1000541041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000541041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41001 + ... + 60680.

Almost surely, 21000541040 is an apocalyptic number.

1000541040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000541040 is an abundant number, since it is smaller than the sum of its proper divisors (2176818096).

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

1000541040 is a wasteful number, since it uses less digits than its factorization.

1000541040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101738 (or 101732 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1000541040 is about 31631.3300384287. The cubic root of 1000541040 is about 1000.1803141515.

Adding to 1000541040 its reverse (401450001), we get a palindrome (1401991041).

The spelling of 1000541040 in words is "one billion, five hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 101681 203362 305043 406724 508405 610086 813448 1016810 1220172 1525215 1626896 2033620 2440344 3050430 4067240 4168921 4880688 6100860 8134480 8337842 12201720 12506763 16675684 20844605 24403440 25013526 33351368 41689210 50027052 62533815 66702736 83378420 100054104 125067630 166756840 200108208 250135260 333513680 500270520 1000541040