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109035400 = 23524113297
BaseRepresentation
bin1100111111110…
…11111110001000
321121011120110011
412133323332020
5210403113100
614453001304
72462533315
oct637737610
9247146404
10109035400
1156602a01
1230623234
13197882b6
14106a3d0c
15988bbba
hex67fbf88

109035400 has 48 divisors (see below), whose sum is σ = 259709940. Its totient is φ = 42547200.

The previous prime is 109035397. The next prime is 109035403. The reversal of 109035400 is 4530901.

It is an interprime number because it is at equal distance from previous prime (109035397) and next prime (109035403).

It can be written as a sum of positive squares in 6 ways, for example, as 36 + 109035364 = 6^2 + 10442^2 .

It is not an unprimeable number, because it can be changed into a prime (109035403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1552 + ... + 14848.

Almost surely, 2109035400 is an apocalyptic number.

109035400 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 109035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129854970).

109035400 is an abundant number, since it is smaller than the sum of its proper divisors (150674540).

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

109035400 is a wasteful number, since it uses less digits than its factorization.

109035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13354 (or 13345 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 109035400 is about 10442.0017238076. The cubic root of 109035400 is about 477.7373252612.

The spelling of 109035400 in words is "one hundred nine million, thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 13297 26594 53188 66485 106376 132970 265940 332425 531880 545177 664850 1090354 1329700 2180708 2659400 2725885 4361416 5451770 10903540 13629425 21807080 27258850 54517700 109035400