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1410214300 = 2252113734649
BaseRepresentation
bin101010000001110…
…0010100110011100
310122021120022100021
41110003202212130
510342003324200
6351533441524
746642423645
oct12403424634
93567508307
101410214300
11664035970
123343402a4
13196216a41
14d54106cc
1583c1141a
hex540e299c

1410214300 has 72 divisors (see below), whose sum is σ = 3428686800. Its totient is φ = 498931200.

The previous prime is 1410214231. The next prime is 1410214307. The reversal of 1410214300 is 34120141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410214307) 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, 23376 + ... + 58024.

It is an arithmetic number, because the mean of its divisors is an integer number (47620650).

Almost surely, 21410214300 is an apocalyptic number.

1410214300 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 1410214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714343400).

1410214300 is an abundant number, since it is smaller than the sum of its proper divisors (2018472500).

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

1410214300 is a wasteful number, since it uses less digits than its factorization.

1410214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34711 (or 34704 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1410214300 is about 37552.8201337796. The cubic root of 1410214300 is about 1121.4029771470.

Adding to 1410214300 its reverse (34120141), we get a palindrome (1444334441).

The spelling of 1410214300 in words is "one billion, four hundred ten million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 37 44 50 55 74 100 110 148 185 220 275 370 407 550 740 814 925 1100 1628 1850 2035 3700 4070 8140 10175 20350 34649 40700 69298 138596 173245 346490 381139 692980 762278 866225 1282013 1524556 1732450 1905695 2564026 3464900 3811390 5128052 6410065 7622780 9528475 12820130 14102143 19056950 25640260 28204286 32050325 38113900 56408572 64100650 70510715 128201300 141021430 282042860 352553575 705107150 1410214300