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109292430 = 23513713947
BaseRepresentation
bin1101000001110…
…10101110001110
321121122122000210
412200322232032
5210434324210
614502303250
72464653552
oct640725616
9247578023
10109292430
1156769025
1230727b26
13198482a0
141072d862
1598dce20
hex683ab8e

109292430 has 64 divisors (see below), whose sum is σ = 286530048. Its totient is φ = 26517120.

The previous prime is 109292411. The next prime is 109292431. The reversal of 109292430 is 34292901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109292431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25717 + ... + 29663.

It is an arithmetic number, because the mean of its divisors is an integer number (4477032).

Almost surely, 2109292430 is an apocalyptic number.

109292430 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 109292430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143265024).

109292430 is an abundant number, since it is smaller than the sum of its proper divisors (177237618).

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

109292430 is a wasteful number, since it uses less digits than its factorization.

109292430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4041.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 109292430 is about 10454.3019853073. The cubic root of 109292430 is about 478.1124219853.

The spelling of 109292430 in words is "one hundred nine million, two hundred ninety-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 71 78 130 142 195 213 355 390 426 710 923 1065 1846 2130 2769 3947 4615 5538 7894 9230 11841 13845 19735 23682 27690 39470 51311 59205 102622 118410 153933 256555 280237 307866 513110 560474 769665 840711 1401185 1539330 1681422 2802370 3643081 4203555 7286162 8407110 10929243 18215405 21858486 36430810 54646215 109292430