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4020243000 = 233539111471
BaseRepresentation
bin1110111110100000…
…0000101000111000
3101101011210111121220
43233220000220320
531213140234000
61502531432040
7201424334034
oct35750005070
911334714556
104020243000
111783360084
12942455620
134c0b8b617
142a1d031c4
15187e231a0
hexefa00a38

4020243000 has 128 divisors (see below), whose sum is σ = 12565463040. Its totient is φ = 1070160000.

The previous prime is 4020242983. The next prime is 4020243023. The reversal of 4020243000 is 3420204.

It is a happy number.

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

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, 2732265 + ... + 2733735.

It is an arithmetic number, because the mean of its divisors is an integer number (98167680).

Almost surely, 24020243000 is an apocalyptic number.

4020243000 is a gapful number since it is divisible by the number (40) 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 4020243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6282731520).

4020243000 is an abundant number, since it is smaller than the sum of its proper divisors (8545220040).

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

4020243000 is a wasteful number, since it uses less digits than its factorization.

4020243000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4020243000 is about 63405.3862065361. The cubic root of 4020243000 is about 1590.0743606693.

Adding to 4020243000 its reverse (3420204), we get a palindrome (4023663204).

The spelling of 4020243000 in words is "four billion, twenty million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 911 1000 1471 1500 1822 2733 2942 3000 3644 4413 4555 5466 5884 7288 7355 8826 9110 10932 11768 13665 14710 17652 18220 21864 22065 22775 27330 29420 35304 36440 36775 44130 45550 54660 58840 68325 73550 88260 91100 109320 110325 113875 136650 147100 176520 182200 183875 220650 227750 273300 294200 341625 367750 441300 455500 546600 551625 683250 735500 882600 911000 1103250 1340081 1366500 1471000 2206500 2680162 2733000 4020243 4413000 5360324 6700405 8040486 10720648 13400810 16080972 20101215 26801620 32161944 33502025 40202430 53603240 67004050 80404860 100506075 134008100 160809720 167510125 201012150 268016200 335020250 402024300 502530375 670040500 804048600 1005060750 1340081000 2010121500 4020243000