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109435424 = 257271983
BaseRepresentation
bin1101000010111…
…01101000100000
321121220220011212
412201131220200
5211003413144
614505325252
72466120500
oct641355040
9247826155
10109435424
11568564aa
1230796828
13198983b7
1410769a00
15991a49e
hex685da20

109435424 has 72 divisors (see below), whose sum is σ = 254415168. Its totient is φ = 46193280.

The previous prime is 109435397. The next prime is 109435433. The reversal of 109435424 is 424534901.

It is a super-2 number, since 2×1094354242 = 23952224052119552, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 110837 + ... + 111819.

It is an arithmetic number, because the mean of its divisors is an integer number (3533544).

Almost surely, 2109435424 is an apocalyptic number.

109435424 is a gapful number since it is divisible by the number (14) 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 109435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127207584).

109435424 is an abundant number, since it is smaller than the sum of its proper divisors (144979744).

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

109435424 is an equidigital number, since it uses as much as digits as its factorization.

109435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 109435424 is about 10461.1387525451. The cubic root of 109435424 is about 478.3208457312.

The spelling of 109435424 in words is "one hundred nine million, four hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 71 98 112 142 196 224 284 392 497 568 784 983 994 1136 1568 1966 1988 2272 3479 3932 3976 6881 6958 7864 7952 13762 13916 15728 15904 27524 27832 31456 48167 55048 55664 69793 96334 110096 111328 139586 192668 220192 279172 385336 488551 558344 770672 977102 1116688 1541344 1954204 2233376 3419857 3908408 6839714 7816816 13679428 15633632 27358856 54717712 109435424