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104606320 = 24571314369
BaseRepresentation
bin1100011110000…
…10101001110000
321021211112220011
412033002221300
5203234400240
614214024304
72410065460
oct617025160
9237745804
10104606320
1154058305
122b048094
1318897340
14dc6dba0
1592b46ea
hex63c2a70

104606320 has 80 divisors (see below), whose sum is σ = 299355840. Its totient is φ = 33103872.

The previous prime is 104606317. The next prime is 104606339. The reversal of 104606320 is 23606401.

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

It is a super-3 number, since 3×1046063203 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104606291 and 104606300.

It is a congruent 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, 96 + ... + 14464.

It is an arithmetic number, because the mean of its divisors is an integer number (3741948).

Almost surely, 2104606320 is an apocalyptic number.

104606320 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 104606320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149677920).

104606320 is an abundant number, since it is smaller than the sum of its proper divisors (194749520).

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

104606320 is a wasteful number, since it uses less digits than its factorization.

104606320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14402 (or 14396 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 104606320 is about 10227.7231092751. The cubic root of 104606320 is about 471.1790527054.

The spelling of 104606320 in words is "one hundred four million, six hundred six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 14369 28738 57476 71845 100583 114952 143690 186797 201166 229904 287380 373594 402332 502915 574760 747188 804664 933985 1005830 1149520 1307579 1494376 1609328 1867970 2011660 2615158 2988752 3735940 4023320 5230316 6537895 7471880 8046640 10460632 13075790 14943760 20921264 26151580 52303160 104606320