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1364542300 = 2252112295417
BaseRepresentation
bin101000101010101…
…0100001101011100
310112002121221010201
41101111110031130
510243310323200
6343222513244
745546263302
oct12125241534
93462557121
101364542300
11640280910
12320b95824
131899155a4
14cd322272
157ebddc6a
hex5155435c

1364542300 has 72 divisors (see below), whose sum is σ = 3244948560. Its totient is φ = 493939200.

The previous prime is 1364542237. The next prime is 1364542343. The reversal of 1364542300 is 32454631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249192 + ... + 254608.

It is an arithmetic number, because the mean of its divisors is an integer number (45068730).

Almost surely, 21364542300 is an apocalyptic number.

1364542300 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 1364542300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622474280).

1364542300 is an abundant number, since it is smaller than the sum of its proper divisors (1880406260).

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

1364542300 is a wasteful number, since it uses less digits than its factorization.

1364542300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5671 (or 5664 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 1364542300 is about 36939.7116935149. The cubic root of 1364542300 is about 1109.1637507435.

Adding to 1364542300 its reverse (32454631), we get a palindrome (1396996931).

It can be divided in two parts, 13645 and 42300, that added together give a triangular number (55945 = T334).

The spelling of 1364542300 in words is "one billion, three hundred sixty-four million, five hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 229 275 458 550 916 1100 1145 2290 2519 4580 5038 5417 5725 10076 10834 11450 12595 21668 22900 25190 27085 50380 54170 59587 62975 108340 119174 125950 135425 238348 251900 270850 297935 541700 595870 1191740 1240493 1489675 2480986 2979350 4961972 5958700 6202465 12404930 13645423 24809860 27290846 31012325 54581692 62024650 68227115 124049300 136454230 272908460 341135575 682271150 1364542300