Search a number
-
+
109956196 = 22741072
BaseRepresentation
bin1101000110111…
…00110001100100
321122220100112201
412203130301210
5211122044241
614524424244
72503420000
oct643346144
9248810481
10109956196
1157081799
12309a8084
1319a1b44c
1410863700
1599be931
hex68dcc64

109956196 has 45 divisors (see below), whose sum is σ = 226598099. Its totient is φ = 46683672.

The previous prime is 109956157. The next prime is 109956199. The reversal of 109956196 is 691659901.

The square root of 109956196 is 10486.

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

It is not an unprimeable number, because it can be changed into a prime (109956199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1027575 + ... + 1027681.

Almost surely, 2109956196 is an apocalyptic number.

109956196 is the 10486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109956196

109956196 is an abundant number, since it is smaller than the sum of its proper divisors (116641903).

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

109956196 is an frugal number, since it uses more digits than its factorization.

109956196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 46.

The cubic root of 109956196 is about 479.0783762453.

The spelling of 109956196 in words is "one hundred nine million, nine hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 343 428 686 749 1372 1498 2401 2996 4802 5243 9604 10486 11449 20972 22898 36701 45796 73402 80143 146804 160286 256907 320572 513814 561001 1027628 1122002 2244004 3927007 7854014 15708028 27489049 54978098 109956196