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104243400 = 233252291997
BaseRepresentation
bin1100011011010…
…10000011001000
321021011010001200
412031222003020
5203141242100
614202144200
72404024422
oct615520310
9237133050
10104243400
115392a678
122aab2060
131879b0b1
14dbb7812
159241e00
hex636a0c8

104243400 has 144 divisors (see below), whose sum is σ = 362337300. Its totient is φ = 26826240.

The previous prime is 104243387. The next prime is 104243417. The reversal of 104243400 is 4342401.

It can be written as a sum of positive squares in 6 ways, for example, as 11737476 + 92505924 = 3426^2 + 9618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51202 + ... + 53198.

Almost surely, 2104243400 is an apocalyptic number.

104243400 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 104243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181168650).

104243400 is an abundant number, since it is smaller than the sum of its proper divisors (258093900).

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

104243400 is a wasteful number, since it uses less digits than its factorization.

104243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 104243400 is about 10209.9657198249. The cubic root of 104243400 is about 470.6335202132.

Adding to 104243400 its reverse (4342401), we get a palindrome (108585801).

Subtracting from 104243400 its reverse (4342401), we obtain a palindrome (99900999).

It can be divided in two parts, 10424 and 3400, that added together give a cube (13824 = 243).

The spelling of 104243400 in words is "one hundred four million, two hundred forty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 29 30 36 40 45 50 58 60 72 75 87 90 100 116 120 145 150 174 180 200 225 232 261 290 300 348 360 435 450 522 580 600 696 725 870 900 1044 1160 1305 1450 1740 1800 1997 2088 2175 2610 2900 3480 3994 4350 5220 5800 5991 6525 7988 8700 9985 10440 11982 13050 15976 17400 17973 19970 23964 26100 29955 35946 39940 47928 49925 52200 57913 59910 71892 79880 89865 99850 115826 119820 143784 149775 173739 179730 199700 231652 239640 289565 299550 347478 359460 399400 449325 463304 521217 579130 599100 694956 718920 868695 898650 1042434 1158260 1198200 1389912 1447825 1737390 1797300 2084868 2316520 2606085 2895650 3474780 3594600 4169736 4343475 5212170 5791300 6949560 8686950 10424340 11582600 13030425 17373900 20848680 26060850 34747800 52121700 104243400