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1040330200 = 235271324397
BaseRepresentation
bin111110000000100…
…010110111011000
32200111120020202011
4332000202313120
54112311031300
6251121515304
734531442440
oct7600426730
92614506664
101040330200
1149426a528
122504a2b34
131376bb100
149c249120
15614eaeba
hex3e022dd8

1040330200 has 144 divisors (see below), whose sum is σ = 2993982480. Its totient is φ = 329172480.

The previous prime is 1040330191. The next prime is 1040330201. The reversal of 1040330200 is 20330401.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040330201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234402 + ... + 238798.

It is an arithmetic number, because the mean of its divisors is an integer number (20791545).

Almost surely, 21040330200 is an apocalyptic number.

1040330200 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 1040330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496991240).

1040330200 is an abundant number, since it is smaller than the sum of its proper divisors (1953652280).

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

1040330200 is a wasteful number, since it uses less digits than its factorization.

1040330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 1040330200 is about 32254.1501205659. The cubic root of 1040330200 is about 1013.2666185110.

Adding to 1040330200 its reverse (20330401), we get a palindrome (1060660601).

The spelling of 1040330200 in words is "one billion, forty million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 169 175 182 200 260 280 325 338 350 364 455 520 650 676 700 728 845 910 1183 1300 1352 1400 1690 1820 2275 2366 2600 3380 3640 4225 4397 4550 4732 5915 6760 8450 8794 9100 9464 11830 16900 17588 18200 21985 23660 29575 30779 33800 35176 43970 47320 57161 59150 61558 87940 109925 114322 118300 123116 153895 175880 219850 228644 236600 246232 285805 307790 400127 439700 457288 571610 615580 743093 769475 800254 879400 1143220 1231160 1429025 1486186 1538950 1600508 2000635 2286440 2858050 2972372 3077900 3201016 3715465 4001270 5201651 5716100 5944744 6155800 7430930 8002540 10003175 10403302 11432200 14861860 16005080 18577325 20006350 20806604 26008255 29723720 37154650 40012700 41613208 52016510 74309300 80025400 104033020 130041275 148618600 208066040 260082550 520165100 1040330200