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104519296 = 277157743
BaseRepresentation
bin1100011101011…
…01011010000000
321021200010112001
412032231122000
5203224104141
614212113344
72406253660
oct616553200
9237603461
10104519296
1153aa8992
122b005854
131886684b
14dc4a1a0
159298a31
hex63ad680

104519296 has 64 divisors (see below), whose sum is σ = 239806080. Its totient is φ = 44448768.

The previous prime is 104519287. The next prime is 104519297. The reversal of 104519296 is 692915401.

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

It is not an unprimeable number, because it can be changed into a prime (104519297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140301 + ... + 141043.

It is an arithmetic number, because the mean of its divisors is an integer number (3746970).

Almost surely, 2104519296 is an apocalyptic number.

104519296 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 104519296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119903040).

104519296 is an abundant number, since it is smaller than the sum of its proper divisors (135286784).

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

104519296 is an equidigital number, since it uses as much as digits as its factorization.

104519296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 104519296 is about 10223.4679047767. The cubic root of 104519296 is about 471.0483554978.

The spelling of 104519296 in words is "one hundred four million, five hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 314 448 628 743 896 1099 1256 1486 2198 2512 2972 4396 5024 5201 5944 8792 10048 10402 11888 17584 20096 20804 23776 35168 41608 47552 70336 83216 95104 116651 140672 166432 233302 332864 466604 665728 816557 933208 1633114 1866416 3266228 3732832 6532456 7465664 13064912 14931328 26129824 52259648 104519296