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103428096 = 212319443
BaseRepresentation
bin1100010101000…
…11000000000000
321012121200200020
412022203000000
5202434144341
614132453440
72364060432
oct612430000
9235550606
10103428096
1153423072
122a77a280
1318573c75
14da44652
159130566
hex62a3000

103428096 has 104 divisors (see below), whose sum is σ = 290944320. Its totient is φ = 32587776.

The previous prime is 103428089. The next prime is 103428097. The reversal of 103428096 is 690824301.

It is not an unprimeable number, because it can be changed into a prime (103428097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233251 + ... + 233693.

Almost surely, 2103428096 is an apocalyptic number.

103428096 is a gapful number since it is divisible by the number (16) 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 103428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145472160).

103428096 is an abundant number, since it is smaller than the sum of its proper divisors (187516224).

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

103428096 is an equidigital number, since it uses as much as digits as its factorization.

103428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 103428096 is about 10169.9604718996. The cubic root of 103428096 is about 469.4033412556.

The spelling of 103428096 in words is "one hundred three million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 443 456 512 608 768 886 912 1024 1216 1329 1536 1772 1824 2048 2432 2658 3072 3544 3648 4096 4864 5316 6144 7088 7296 8417 9728 10632 12288 14176 14592 16834 19456 21264 25251 28352 29184 33668 38912 42528 50502 56704 58368 67336 77824 85056 101004 113408 116736 134672 170112 202008 226816 233472 269344 340224 404016 453632 538688 680448 808032 907264 1077376 1360896 1616064 1814528 2154752 2721792 3232128 4309504 5443584 6464256 8619008 12928512 17238016 25857024 34476032 51714048 103428096