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103204864 = 211723313
BaseRepresentation
bin1100010011011…
…00100000000000
321012012100110101
412021230200000
5202410023424
614124012144
72362140550
oct611544000
9235170411
10103204864
1153290384
122a691054
13184c6489
14d9c7160
1590d9344
hex626c800

103204864 has 96 divisors (see below), whose sum is σ = 246879360. Its totient is φ = 42172416.

The previous prime is 103204847. The next prime is 103204873. The reversal of 103204864 is 468402301.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 329572 + ... + 329884.

It is an arithmetic number, because the mean of its divisors is an integer number (2571660).

Almost surely, 2103204864 is an apocalyptic number.

103204864 is a gapful number since it is divisible by the number (14) 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 103204864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123439680).

103204864 is an abundant number, since it is smaller than the sum of its proper divisors (143674496).

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

103204864 is an equidigital number, since it uses as much as digits as its factorization.

103204864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 103204864 is about 10158.9794763057. The cubic root of 103204864 is about 469.0653888399.

The spelling of 103204864 in words is "one hundred three million, two hundred four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 313 322 368 448 512 626 644 736 896 1024 1252 1288 1472 1792 2048 2191 2504 2576 2944 3584 4382 5008 5152 5888 7168 7199 8764 10016 10304 11776 14336 14398 17528 20032 20608 23552 28796 35056 40064 41216 47104 50393 57592 70112 80128 82432 100786 115184 140224 160256 164864 201572 230368 280448 320512 329728 403144 460736 560896 641024 806288 921472 1121792 1612576 1842944 2243584 3225152 3685888 4487168 6450304 7371776 12900608 14743552 25801216 51602432 103204864