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104639520 = 2535277787
BaseRepresentation
bin1100011110010…
…10110000100000
321021220020102210
412033022300200
5203241431040
614214442120
72410264326
oct617126040
9237806383
10104639520
1154080247
122b063340
13188a949b
14dc7bd16
1592be480
hex63cac20

104639520 has 96 divisors (see below), whose sum is σ = 331224768. Its totient is φ = 27767808.

The previous prime is 104639519. The next prime is 104639537. The reversal of 104639520 is 25936401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 132567 + ... + 133353.

It is an arithmetic number, because the mean of its divisors is an integer number (3450258).

Almost surely, 2104639520 is an apocalyptic number.

104639520 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 104639520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165612384).

104639520 is an abundant number, since it is smaller than the sum of its proper divisors (226585248).

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

104639520 is a wasteful number, since it uses less digits than its factorization.

104639520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 104639520 is about 10229.3460201520. The cubic root of 104639520 is about 471.2288951047.

The spelling of 104639520 in words is "one hundred four million, six hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 787 831 1108 1385 1574 1662 2216 2361 2770 3148 3324 3935 4155 4432 4722 5540 6296 6648 7870 8310 8864 9444 11080 11805 12592 13296 15740 16620 18888 22160 23610 25184 26592 31480 33240 37776 44320 47220 62960 66480 75552 94440 125920 132960 188880 217999 377760 435998 653997 871996 1089995 1307994 1743992 2179990 2615988 3269985 3487984 4359980 5231976 6539970 6975968 8719960 10463952 13079940 17439920 20927904 26159880 34879840 52319760 104639520