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109091430 = 23257434027
BaseRepresentation
bin1101000000010…
…01101001100110
321121021102022100
412200021221212
5210411411210
614454112530
72463155550
oct640115146
9247242270
10109091430
1156641008
123064b746
13197a7956
14106ba4d0
15989d5c0
hex6809a66

109091430 has 96 divisors (see below), whose sum is σ = 331778304. Its totient is φ = 24349248.

The previous prime is 109091401. The next prime is 109091441. The reversal of 109091430 is 34190901.

It is a junction number, because it is equal to n+sod(n) for n = 109091394 and 109091403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 25077 + ... + 29103.

It is an arithmetic number, because the mean of its divisors is an integer number (3456024).

Almost surely, 2109091430 is an apocalyptic number.

109091430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109091430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165889152).

109091430 is an abundant number, since it is smaller than the sum of its proper divisors (222686874).

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

109091430 is a wasteful number, since it uses less digits than its factorization.

109091430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109091430 is about 10444.6842939363. The cubic root of 109091430 is about 477.8191428441.

The spelling of 109091430 in words is "one hundred nine million, ninety-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 63 70 86 90 105 126 129 210 215 258 301 315 387 430 602 630 645 774 903 1290 1505 1806 1935 2709 3010 3870 4027 4515 5418 8054 9030 12081 13545 20135 24162 27090 28189 36243 40270 56378 60405 72486 84567 120810 140945 169134 173161 181215 253701 281890 346322 362430 422835 507402 519483 845670 865805 1038966 1212127 1268505 1558449 1731610 2424254 2537010 2597415 3116898 3636381 5194830 6060635 7272762 7792245 10909143 12121270 15584490 18181905 21818286 36363810 54545715 109091430