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104302820 = 225171392207
BaseRepresentation
bin1100011011110…
…00100011100100
321021021010120102
412031320203210
5203200142240
614203323232
72404362566
oct615704344
9237233512
10104302820
1153970286
122ab20518
13187bc15b
14dbd1336
159254815
hex63788e4

104302820 has 48 divisors (see below), whose sum is σ = 233694720. Its totient is φ = 38966784.

The previous prime is 104302813. The next prime is 104302841. The reversal of 104302820 is 28203401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 104302792 and 104302801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46157 + ... + 48363.

It is an arithmetic number, because the mean of its divisors is an integer number (4868640).

Almost surely, 2104302820 is an apocalyptic number.

104302820 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 104302820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116847360).

104302820 is an abundant number, since it is smaller than the sum of its proper divisors (129391900).

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

104302820 is a wasteful number, since it uses less digits than its factorization.

104302820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 104302820 is about 10212.8752073057. The cubic root of 104302820 is about 470.7229254960.

The spelling of 104302820 in words is "one hundred four million, three hundred two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 139 170 278 340 556 695 1390 2207 2363 2780 4414 4726 8828 9452 11035 11815 22070 23630 37519 44140 47260 75038 150076 187595 306773 375190 613546 750380 1227092 1533865 3067730 5215141 6135460 10430282 20860564 26075705 52151410 104302820