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104402320 = 24511294091
BaseRepresentation
bin1100011100100…
…00110110010000
321021110012001121
412032100312100
5203211333240
614205412024
72405255641
oct616206620
9237405047
10104402320
1153a29010
122ab6a014
1318825529
14dc196c8
15927404a
hex6390d90

104402320 has 80 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 36646400.

The previous prime is 104402299. The next prime is 104402381. The reversal of 104402320 is 23204401.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 104402294 and 104402303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23475 + ... + 27565.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 2104402320 is an apocalyptic number.

104402320 is a gapful number since it is divisible by the number (10) 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 104402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

104402320 is an abundant number, since it is smaller than the sum of its proper divisors (169598000).

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

104402320 is a wasteful number, since it uses less digits than its factorization.

104402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4144 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 104402320 is about 10217.7453481676. The cubic root of 104402320 is about 470.8725604581.

Adding to 104402320 its reverse (23204401), we get a palindrome (127606721).

The spelling of 104402320 in words is "one hundred four million, four hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 110 116 145 176 220 232 290 319 440 464 580 638 880 1160 1276 1595 2320 2552 3190 4091 5104 6380 8182 12760 16364 20455 25520 32728 40910 45001 65456 81820 90002 118639 163640 180004 225005 237278 327280 360008 450010 474556 593195 720016 900020 949112 1186390 1305029 1800040 1898224 2372780 2610058 3600080 4745560 5220116 6525145 9491120 10440232 13050290 20880464 26100580 52201160 104402320