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4050120200 = 2352710128643
BaseRepresentation
bin1111000101100111…
…1110111000001000
3101110021000102102212
43301121332320020
531243312321300
61505520044252
7202236311420
oct36131767010
911407012385
104050120200
111799207285
12950463688
134c711c739
142a5c7d480
1518a875935
hexf167ee08

4050120200 has 96 divisors (see below), whose sum is σ = 10868679360. Its totient is φ = 1374816000.

The previous prime is 4050120197. The next prime is 4050120223. The reversal of 4050120200 is 20210504.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127079 + ... + 155721.

It is an arithmetic number, because the mean of its divisors is an integer number (113215410).

Almost surely, 24050120200 is an apocalyptic number.

4050120200 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 4050120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5434339680).

4050120200 is an abundant number, since it is smaller than the sum of its proper divisors (6818559160).

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

4050120200 is a wasteful number, since it uses less digits than its factorization.

4050120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28767 (or 28758 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4050120200 is about 63640.5546801723. The cubic root of 4050120200 is about 1594.0036229463.

Adding to 4050120200 its reverse (20210504), we get a palindrome (4070330704).

The spelling of 4050120200 in words is "four billion, fifty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 17675 20200 28280 28643 35350 57286 70700 114572 141400 143215 200501 229144 286430 401002 572860 716075 802004 1002505 1145720 1432150 1604008 2005010 2864300 2892943 4010020 5012525 5728600 5785886 8020040 10025050 11571772 14464715 20050100 20250601 23143544 28929430 40100200 40501202 57858860 72323575 81002404 101253005 115717720 144647150 162004808 202506010 289294300 405012020 506265025 578588600 810024040 1012530050 2025060100 4050120200