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104130304 = 281771337
BaseRepresentation
bin1100011010011…
…10011100000000
321020221100220221
412031032130000
5203124132204
614155512424
72403043615
oct615163400
9236840827
10104130304
1153862703
122aa58714
131875b785
14db8850c
15921d654
hex634e700

104130304 has 72 divisors (see below), whose sum is σ = 223842528. Its totient is φ = 48168960.

The previous prime is 104130281. The next prime is 104130307. The reversal of 104130304 is 403031401.

It is a super-2 number, since 2×1041303042 = 21686240422264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104130307) 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 7 ways as a sum of consecutive naturals, for example, 308824 + ... + 309160.

It is an arithmetic number, because the mean of its divisors is an integer number (3108924).

Almost surely, 2104130304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111921264).

104130304 is an abundant number, since it is smaller than the sum of its proper divisors (119712224).

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

104130304 is an equidigital number, since it uses as much as digits as its factorization.

104130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104130304 is about 10204.4257065256. The cubic root of 104130304 is about 470.4632583415.

Adding to 104130304 its reverse (403031401), we get a palindrome (507161705).

It can be divided in two parts, 10 and 4130304, that added together give a palindrome (4130314).

The spelling of 104130304 in words is "one hundred four million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 337 544 568 674 1088 1136 1207 1348 2176 2272 2414 2696 4352 4544 4828 5392 5729 9088 9656 10784 11458 18176 19312 21568 22916 23927 38624 43136 45832 47854 77248 86272 91664 95708 154496 183328 191416 308992 366656 382832 406759 733312 765664 813518 1466624 1531328 1627036 3062656 3254072 6125312 6508144 13016288 26032576 52065152 104130304