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1312053400 = 235272235821
BaseRepresentation
bin100111000110100…
…0101100010011000
310101102212012220101
41032031011202120
510141341202100
6334105505144
744341161400
oct11615054230
93342765811
101312053400
11613690159
123074a21b4
1317ba98378
14c637b800
157a2c186a
hex4e345898

1312053400 has 144 divisors (see below), whose sum is σ = 3703490640. Its totient is φ = 430214400.

The previous prime is 1312053389. The next prime is 1312053403. The reversal of 1312053400 is 43502131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312053403) 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 35 ways as a sum of consecutive naturals, for example, 222490 + ... + 228310.

It is an arithmetic number, because the mean of its divisors is an integer number (25718685).

Almost surely, 21312053400 is an apocalyptic number.

1312053400 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 1312053400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851745320).

1312053400 is an abundant number, since it is smaller than the sum of its proper divisors (2391437240).

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

1312053400 is a wasteful number, since it uses less digits than its factorization.

1312053400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5874 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1312053400 is about 36222.2776754858. The cubic root of 1312053400 is about 1094.7555871858.

Adding to 1312053400 its reverse (43502131), we get a palindrome (1355555531).

The spelling of 1312053400 in words is "one billion, three hundred twelve million, fifty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1225 1288 1400 1610 1960 2254 2300 2450 3220 4025 4508 4600 4900 5635 5821 6440 8050 9016 9800 11270 11642 16100 22540 23284 28175 29105 32200 40747 45080 46568 56350 58210 81494 112700 116420 133883 145525 162988 203735 225400 232840 267766 285229 291050 325976 407470 535532 570458 582100 669415 814940 937181 1018675 1071064 1140916 1164200 1338830 1426145 1629880 1874362 2037350 2281832 2677660 2852290 3347075 3748724 4074700 4685905 5355320 5704580 6560267 6694150 7130725 7497448 8149400 9371810 11409160 13120534 13388300 14261450 18743620 23429525 26241068 26776600 28522900 32801335 37487240 46859050 52482136 57045800 65602670 93718100 131205340 164006675 187436200 262410680 328013350 656026700 1312053400