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104213400 = 23352172601
BaseRepresentation
bin1100011011000…
…10101110011000
321021002120220120
412031202232120
5203134312100
614201353240
72403541104
oct615425630
9237076816
10104213400
115390a085
122aa98820
131878a545
14dbaa904
1592380a0
hex6362b98

104213400 has 144 divisors (see below), whose sum is σ = 343754040. Its totient is φ = 26112000.

The previous prime is 104213359. The next prime is 104213401. The reversal of 104213400 is 4312401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 104213400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104213401) 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, 173100 + ... + 173700.

Almost surely, 2104213400 is an apocalyptic number.

104213400 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 104213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171877020).

104213400 is an abundant number, since it is smaller than the sum of its proper divisors (239540640).

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

104213400 is a wasteful number, since it uses less digits than its factorization.

104213400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 104213400 is about 10208.4964612817. The cubic root of 104213400 is about 470.5883683210.

Adding to 104213400 its reverse (4312401), we get a palindrome (108525801).

Subtracting from 104213400 its reverse (4312401), we obtain a palindrome (99900999).

The spelling of 104213400 in words is "one hundred four million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 578 600 601 680 850 867 1020 1156 1202 1275 1445 1700 1734 1803 2040 2312 2404 2550 2890 3005 3400 3468 3606 4335 4808 5100 5780 6010 6936 7212 7225 8670 9015 10200 10217 11560 12020 14424 14450 15025 17340 18030 20434 21675 24040 28900 30050 30651 34680 36060 40868 43350 45075 51085 57800 60100 61302 72120 81736 86700 90150 102170 120200 122604 153255 173400 173689 180300 204340 245208 255425 306510 347378 360600 408680 510850 521067 613020 694756 766275 868445 1021700 1042134 1226040 1389512 1532550 1736890 2043400 2084268 2605335 3065100 3473780 4168536 4342225 5210670 6130200 6947560 8684450 10421340 13026675 17368900 20842680 26053350 34737800 52106700 104213400