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109077136 = 24723732
BaseRepresentation
bin1101000000001…
…10001010010000
321121020200200221
412200012022100
5210410432021
614453522424
72463066100
oct640061220
9247220627
10109077136
11566312a3
1230643414
13197a12ac
14106b5200
159899241
hex6806290

109077136 has 45 divisors (see below), whose sum is σ = 246501801. Its totient is φ = 46622016.

The previous prime is 109077121. The next prime is 109077167. The reversal of 109077136 is 631770901.

It is a happy number.

The square root of 109077136 is 10444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59290000 + 49787136 = 7700^2 + 7056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 292246 + ... + 292618.

Almost surely, 2109077136 is an apocalyptic number.

109077136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109077136 is the 10444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109077136

109077136 is an abundant number, since it is smaller than the sum of its proper divisors (137424665).

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

109077136 is an frugal number, since it uses more digits than its factorization.

109077136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 34.

The cubic root of 109077136 is about 477.7982727502.

The spelling of 109077136 in words is "one hundred nine million, seventy-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 373 392 746 784 1492 2611 2984 5222 5968 10444 18277 20888 36554 41776 73108 139129 146216 278258 292432 556516 973903 1113032 1947806 2226064 3895612 6817321 7791224 13634642 15582448 27269284 54538568 109077136