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1043199040 = 265132310903
BaseRepresentation
bin111110001011011…
…111010001000000
32200200222000001111
4332023133101000
54114024332130
6251303213104
734565021422
oct7613372100
92620860044
101043199040
11495949974
12251447194
13138183b50
149c794812
15618b602a
hex3e2df440

1043199040 has 112 divisors (see below), whose sum is σ = 2791772928. Its totient is φ = 368400384.

The previous prime is 1043199037. The next prime is 1043199043. The reversal of 1043199040 is 409913401.

1043199040 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 (1043199037) and next prime (1043199043).

It is a junction number, because it is equal to n+sod(n) for n = 1043198993 and 1043199011.

It is not an unprimeable number, because it can be changed into a prime (1043199043) 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, 90229 + ... + 101131.

It is an arithmetic number, because the mean of its divisors is an integer number (24926544).

Almost surely, 21043199040 is an apocalyptic number.

1043199040 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 1043199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395886464).

1043199040 is an abundant number, since it is smaller than the sum of its proper divisors (1748573888).

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

1043199040 is a wasteful number, since it uses less digits than its factorization.

1043199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10946 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 1043199040 is about 32298.5919197726. The cubic root of 1043199040 is about 1014.1971666023.

The spelling of 1043199040 in words is "one billion, forty-three million, one hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 130 160 184 208 230 260 299 320 368 416 460 520 598 736 832 920 1040 1196 1472 1495 1840 2080 2392 2990 3680 4160 4784 5980 7360 9568 10903 11960 19136 21806 23920 43612 47840 54515 87224 95680 109030 141739 174448 218060 250769 283478 348896 436120 501538 566956 697792 708695 872240 1003076 1133912 1253845 1417390 1744480 2006152 2267824 2507690 2834780 3259997 3488960 4012304 4535648 5015380 5669560 6519994 8024608 9071296 10030760 11339120 13039988 16049216 16299985 20061520 22678240 26079976 32599970 40123040 45356480 52159952 65199940 80246080 104319904 130399880 208639808 260799760 521599520 1043199040