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1041114200 = 235271136581
BaseRepresentation
bin111110000011100…
…010010001011000
32200120001002012012
4332003202101120
54113011123300
6251150405052
734541216240
oct7603422130
92616032165
101041114200
11494755565
12250800788
13137903c09
149c3b0b20
1561603435
hex3e0e2458

1041114200 has 96 divisors (see below), whose sum is σ = 2791294560. Its totient is φ = 353740800.

The previous prime is 1041114169. The next prime is 1041114203. The reversal of 1041114200 is 24111401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041114203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154910 + ... + 161490.

It is an arithmetic number, because the mean of its divisors is an integer number (29075985).

Almost surely, 21041114200 is an apocalyptic number.

1041114200 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 1041114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395647280).

1041114200 is an abundant number, since it is smaller than the sum of its proper divisors (1750180360).

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

1041114200 is a wasteful number, since it uses less digits than its factorization.

1041114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1041114200 is about 32266.3013064714. The cubic root of 1041114200 is about 1013.5210894976.

Adding to 1041114200 its reverse (24111401), we get a palindrome (1065225601).

The spelling of 1041114200 in words is "one billion, forty-one million, one hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 140 175 200 226 280 350 452 565 700 791 904 1130 1400 1582 2260 2825 3164 3955 4520 5650 6328 6581 7910 11300 13162 15820 19775 22600 26324 31640 32905 39550 46067 52648 65810 79100 92134 131620 158200 164525 184268 230335 263240 329050 368536 460670 658100 743653 921340 1151675 1316200 1487306 1842680 2303350 2974612 3718265 4606700 5205571 5949224 7436530 9213400 10411142 14873060 18591325 20822284 26027855 29746120 37182650 41644568 52055710 74365300 104111420 130139275 148730600 208222840 260278550 520557100 1041114200