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1140010300 = 22521113292749
BaseRepresentation
bin100001111110011…
…0010110100111100
32221110010112010201
41003330302310330
54313320312200
6305042213244
740151633122
oct10374626474
92843115121
101140010300
11535562680
12279954224
1315224c110
14ab595912
156a13ac6a
hex43f32d3c

1140010300 has 144 divisors (see below), whose sum is σ = 3007620000. Its totient is φ = 369331200.

The previous prime is 1140010297. The next prime is 1140010349. The reversal of 1140010300 is 30100411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 413326 + ... + 416074.

It is an arithmetic number, because the mean of its divisors is an integer number (20886250).

Almost surely, 21140010300 is an apocalyptic number.

1140010300 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 1140010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503810000).

1140010300 is an abundant number, since it is smaller than the sum of its proper divisors (1867609700).

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

1140010300 is a wasteful number, since it uses less digits than its factorization.

1140010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1140010300 is about 33764.0385617598. The cubic root of 1140010300 is about 1044.6470729627.

Adding to 1140010300 its reverse (30100411), we get a palindrome (1170110711).

The spelling of 1140010300 in words is "one billion, one hundred forty million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 29 44 50 52 55 58 65 100 110 116 130 143 145 220 260 275 286 290 319 325 377 550 572 580 638 650 715 725 754 1100 1276 1300 1430 1450 1508 1595 1885 2749 2860 2900 3190 3575 3770 4147 5498 6380 7150 7540 7975 8294 9425 10996 13745 14300 15950 16588 18850 20735 27490 30239 31900 35737 37700 41470 54980 60478 68725 71474 79721 82940 103675 120956 137450 142948 151195 159442 178685 207350 274900 302390 318884 357370 393107 398605 414700 604780 714740 755975 786214 797210 876931 893425 1036373 1511950 1572428 1594420 1753862 1786850 1965535 1993025 2072746 3023900 3507724 3573700 3931070 3986050 4145492 4384655 5181865 7862140 7972100 8769310 9827675 10363730 11400103 17538620 19655350 20727460 21923275 22800206 25909325 39310700 43846550 45600412 51818650 57000515 87693100 103637300 114001030 228002060 285002575 570005150 1140010300