Search a number
-
+
109941120 = 2732519087
BaseRepresentation
bin1101000110110…
…01000110000000
321122212120212100
412203121012000
5211121103440
614524230400
72503325022
oct643310600
9248776770
10109941120
1157071433
123099b400
1319a14623
141085c012
1599ba230
hex68d9180

109941120 has 96 divisors (see below), whose sum is σ = 379660320. Its totient is φ = 29316096.

The previous prime is 109941113. The next prime is 109941121. The reversal of 109941120 is 21149901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109941121) 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, 3784 + ... + 15303.

It is an arithmetic number, because the mean of its divisors is an integer number (3954795).

Almost surely, 2109941120 is an apocalyptic number.

109941120 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 109941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189830160).

109941120 is an abundant number, since it is smaller than the sum of its proper divisors (269719200).

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

109941120 is a wasteful number, since it uses less digits than its factorization.

109941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19112 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 109941120 is about 10485.2811121114. The cubic root of 109941120 is about 479.0564799023.

The spelling of 109941120 in words is "one hundred nine million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 19087 38174 57261 76348 95435 114522 152696 171783 190870 229044 286305 305392 343566 381740 458088 572610 610784 687132 763480 858915 916176 1145220 1221568 1374264 1526960 1717830 1832352 2290440 2443136 2748528 3053920 3435660 3664704 4580880 5497056 6107840 6871320 7329408 9161760 10994112 12215680 13742640 18323520 21988224 27485280 36647040 54970560 109941120