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109195520 = 285721741
BaseRepresentation
bin1101000001000…
…11000100000000
321121110201002112
412200203010000
5210423224040
614500234452
72464101200
oct640430400
9247421075
10109195520
1156702235
123069ba28
1319813145
1410706400
1598be365
hex6823100

109195520 has 108 divisors (see below), whose sum is σ = 304435404. Its totient is φ = 37416960.

The previous prime is 109195511. The next prime is 109195531. The reversal of 109195520 is 25591901.

It can be written as a sum of positive squares in 2 ways, for example, as 12054784 + 97140736 = 3472^2 + 9856^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61850 + ... + 63590.

Almost surely, 2109195520 is an apocalyptic number.

109195520 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 109195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152217702).

109195520 is an abundant number, since it is smaller than the sum of its proper divisors (195239884).

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

109195520 is an equidigital number, since it uses as much as digits as its factorization.

109195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 32.

The square root of 109195520 is about 10449.6660233713. Note that the first 3 decimals coincide. The cubic root of 109195520 is about 477.9710655151.

The spelling of 109195520 in words is "one hundred nine million, one hundred ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1741 1792 1960 2240 3136 3482 3920 4480 6272 6964 7840 8705 8960 12187 12544 13928 15680 17410 24374 27856 31360 34820 48748 55712 60935 62720 69640 85309 97496 111424 121870 139280 170618 194992 222848 243740 278560 341236 389984 426545 445696 487480 557120 682472 779968 853090 974960 1114240 1364944 1559936 1706180 1949920 2228480 2729888 3119872 3412360 3899840 5459776 6824720 7799680 10919552 13649440 15599360 21839104 27298880 54597760 109195520