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104430976 = 271397647
BaseRepresentation
bin1100011100101…
…11110110000000
321021111122100221
412032113312000
5203213242401
614210152424
72405435326
oct616276600
9237448327
10104430976
1153a485a1
122ab82714
13188355a0
14dc25d16
15927c7a1
hex6397d80

104430976 has 64 divisors (see below), whose sum is σ = 226709280. Its totient is φ = 47628288.

The previous prime is 104430967. The next prime is 104431009. The reversal of 104430976 is 679034401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161085 + ... + 161731.

Almost surely, 2104430976 is an apocalyptic number.

104430976 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 104430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113354640).

104430976 is an abundant number, since it is smaller than the sum of its proper divisors (122278304).

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

104430976 is an equidigital number, since it uses as much as digits as its factorization.

104430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 104430976 is about 10219.1475182620. The cubic root of 104430976 is about 470.9156376929.

The spelling of 104430976 in words is "one hundred four million, four hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 388 416 647 776 832 1261 1294 1552 1664 2522 2588 3104 5044 5176 6208 8411 10088 10352 12416 16822 20176 20704 33644 40352 41408 62759 67288 80704 82816 125518 134576 161408 251036 269152 502072 538304 815867 1004144 1076608 1631734 2008288 3263468 4016576 6526936 8033152 13053872 26107744 52215488 104430976