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104121420 = 2235131311019
BaseRepresentation
bin1100011010011…
…00010001001100
321020220220201220
412031030101030
5203123341140
614155403340
72403005664
oct615142114
9236826656
10104121420
1153856a67
122aa53550
1318757710
14db851a4
15921abd0
hex634c44c

104121420 has 96 divisors (see below), whose sum is σ = 316673280. Its totient is φ = 25409280.

The previous prime is 104121419. The next prime is 104121421. The reversal of 104121420 is 24121401.

It is an interprime number because it is at equal distance from previous prime (104121419) and next prime (104121421).

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 104121420.

It is not an unprimeable number, because it can be changed into a prime (104121421) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101671 + ... + 102689.

It is an arithmetic number, because the mean of its divisors is an integer number (3298680).

Almost surely, 2104121420 is an apocalyptic number.

104121420 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 104121420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158336640).

104121420 is an abundant number, since it is smaller than the sum of its proper divisors (212551860).

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

104121420 is a wasteful number, since it uses less digits than its factorization.

104121420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 104121420 is about 10203.9903959186. The cubic root of 104121420 is about 470.4498785846.

Adding to 104121420 its reverse (24121401), we get a palindrome (128242821).

The spelling of 104121420 in words is "one hundred four million, one hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 524 655 780 786 1019 1310 1572 1703 1965 2038 2620 3057 3406 3930 4076 5095 5109 6114 6812 7860 8515 10190 10218 12228 13247 15285 17030 20380 20436 25545 26494 30570 34060 39741 51090 52988 61140 66235 79482 102180 132470 133489 158964 198705 264940 266978 397410 400467 533956 667445 794820 800934 1334890 1601868 1735357 2002335 2669780 3470714 4004670 5206071 6941428 8009340 8676785 10412142 17353570 20824284 26030355 34707140 52060710 104121420