Search a number
-
+
109749060 = 223351671217
BaseRepresentation
bin1101000101010…
…10001101000100
321122111211102000
412202222031010
5211043432220
614520145300
72501565051
oct642521504
9248454360
10109749060
1156a50103
1230908230
1319978095
141080c028
15997d390
hex68aa344

109749060 has 96 divisors (see below), whose sum is σ = 343768320. Its totient is φ = 29067264.

The previous prime is 109749043. The next prime is 109749071. The reversal of 109749060 is 60947901.

109749060 is a `hidden beast` number, since 109 + 7 + 490 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 89572 + ... + 90788.

It is an arithmetic number, because the mean of its divisors is an integer number (3580920).

Almost surely, 2109749060 is an apocalyptic number.

109749060 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 109749060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171884160).

109749060 is an abundant number, since it is smaller than the sum of its proper divisors (234019260).

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

109749060 is a wasteful number, since it uses less digits than its factorization.

109749060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 109749060 is about 10476.1185560302. The cubic root of 109749060 is about 478.7773571116. Note that the first 3 decimals are identical.

The spelling of 109749060 in words is "one hundred nine million, seven hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 167 180 270 334 501 540 668 835 1002 1217 1503 1670 2004 2434 2505 3006 3340 3651 4509 4868 5010 6012 6085 7302 7515 9018 10020 10953 12170 14604 15030 18036 18255 21906 22545 24340 30060 32859 36510 43812 45090 54765 65718 73020 90180 109530 131436 164295 203239 219060 328590 406478 609717 657180 812956 1016195 1219434 1829151 2032390 2438868 3048585 3658302 4064780 5487453 6097170 7316604 9145755 10974906 12194340 18291510 21949812 27437265 36583020 54874530 109749060