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104445120 = 2635138369
BaseRepresentation
bin1100011100110…
…11010011000000
321021112100202210
412032123103000
5203214220440
614210342120
72405524503
oct616332300
9237470683
10104445120
1153a5818a
122ab8a940
131883bb60
14dc2b13a
159281a80
hex639b4c0

104445120 has 112 divisors (see below), whose sum is σ = 357164640. Its totient is φ = 25706496.

The previous prime is 104445119. The next prime is 104445167. The reversal of 104445120 is 21544401.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8296 + ... + 16664.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 2104445120 is an apocalyptic number.

104445120 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 104445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

104445120 is an abundant number, since it is smaller than the sum of its proper divisors (252719520).

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

104445120 is a wasteful number, since it uses less digits than its factorization.

104445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 104445120 is about 10219.8395290729. The cubic root of 104445120 is about 470.9368968070.

Adding to 104445120 its reverse (21544401), we get a palindrome (125989521).

It can be divided in two parts, 1044 and 45120, that added together give a palindrome (46164).

The spelling of 104445120 in words is "one hundred four million, four hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 8369 12480 16738 25107 33476 41845 50214 66952 83690 100428 108797 125535 133904 167380 200856 217594 251070 267808 326391 334760 401712 435188 502140 535616 543985 652782 669520 803424 870376 1004280 1087970 1305564 1339040 1606848 1631955 1740752 2008560 2175940 2611128 2678080 3263910 3481504 4017120 4351880 5222256 6527820 6963008 8034240 8703760 10444512 13055640 17407520 20889024 26111280 34815040 52222560 104445120