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412103104 = 2677312601
BaseRepresentation
bin11000100100000…
…011000111000000
31001201110000011221
4120210003013000
51320444244404
6104520444424
713132550530
oct3044030700
91051400157
10412103104
111a1692186
12b6019714
13674bb4ba
143ca354c0
15262a4954
hex189031c0

412103104 has 56 divisors (see below), whose sum is σ = 947468768. Its totient is φ = 174182400.

The previous prime is 412103093. The next prime is 412103147. The reversal of 412103104 is 401301214.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26404 + ... + 39004.

Almost surely, 2412103104 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 412103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473734384).

412103104 is an abundant number, since it is smaller than the sum of its proper divisors (535365664).

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

412103104 is a wasteful number, since it uses less digits than its factorization.

412103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12693 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 412103104 is about 20300.3227560549. The cubic root of 412103104 is about 744.1639519976.

Adding to 412103104 its reverse (401301214), we get a palindrome (813404318).

The spelling of 412103104 in words is "four hundred twelve million, one hundred three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 146 224 292 448 511 584 1022 1168 2044 2336 4088 4672 8176 12601 16352 25202 32704 50404 88207 100808 176414 201616 352828 403232 705656 806464 919873 1411312 1839746 2822624 3679492 5645248 6439111 7358984 12878222 14717968 25756444 29435936 51512888 58871872 103025776 206051552 412103104