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109945660 = 22511677459
BaseRepresentation
bin1101000110110…
…10001100111100
321122212211002111
412203122030330
5211121230120
614524303404
72503344166
oct643321474
9248784074
10109945660
1157074890
12309a1b64
1319a16706
141085d936
1599bb75a
hex68da33c

109945660 has 48 divisors (see below), whose sum is σ = 255669120. Its totient is φ = 39378240.

The previous prime is 109945639. The next prime is 109945669. The reversal of 109945660 is 66549901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109945669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11011 + ... + 18469.

It is an arithmetic number, because the mean of its divisors is an integer number (5326440).

Almost surely, 2109945660 is an apocalyptic number.

109945660 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 109945660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127834560).

109945660 is an abundant number, since it is smaller than the sum of its proper divisors (145723460).

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

109945660 is a wasteful number, since it uses less digits than its factorization.

109945660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7546 (or 7544 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 109945660 is about 10485.4976038336. The cubic root of 109945660 is about 479.0630739971.

The spelling of 109945660 in words is "one hundred nine million, nine hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 2948 3685 7370 7459 14740 14918 29836 37295 74590 82049 149180 164098 328196 410245 499753 820490 999506 1640980 1999012 2498765 4997530 5497283 9995060 10994566 21989132 27486415 54972830 109945660