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109436820 = 223517313461
BaseRepresentation
bin1101000010111…
…01111110010100
321121220222002120
412201131332110
5211003434240
614505335540
72466124533
oct641357624
9247828076
10109436820
1156857559
12307975b0
1319898c1c
141076a31a
15991aad0
hex685df94

109436820 has 96 divisors (see below), whose sum is σ = 335010816. Its totient is φ = 26572800.

The previous prime is 109436819. The next prime is 109436843. The reversal of 109436820 is 28634901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29890 + ... + 33350.

It is an arithmetic number, because the mean of its divisors is an integer number (3489696).

Almost surely, 2109436820 is an apocalyptic number.

109436820 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 109436820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167505408).

109436820 is an abundant number, since it is smaller than the sum of its proper divisors (225573996).

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

109436820 is a wasteful number, since it uses less digits than its factorization.

109436820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 109436820 is about 10461.2054754698. The cubic root of 109436820 is about 478.3228796036.

The spelling of 109436820 in words is "one hundred nine million, four hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1860 2108 2635 3162 3461 5270 6324 6922 7905 10383 10540 13844 15810 17305 20766 31620 34610 41532 51915 58837 69220 103830 107291 117674 176511 207660 214582 235348 294185 321873 353022 429164 536455 588370 643746 706044 882555 1072910 1176740 1287492 1609365 1765110 1823947 2145820 3218730 3530220 3647894 5471841 6437460 7295788 9119735 10943682 18239470 21887364 27359205 36478940 54718410 109436820