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110745640 = 2353124367
BaseRepresentation
bin1101001100111…
…01100000101000
321201101110110101
412212131200220
5211322330030
614553355144
72513215405
oct646354050
9251343411
10110745640
1157570925
1231108ab4
1319c36885
14109cb2ac
159ac87ca
hex699d828

110745640 has 96 divisors (see below), whose sum is σ = 267395040. Its totient is φ = 41247360.

The previous prime is 110745619. The next prime is 110745643. The reversal of 110745640 is 46547011.

It is a junction number, because it is equal to n+sod(n) for n = 110745599 and 110745608.

It is not an unprimeable number, because it can be changed into a prime (110745643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652887 + ... + 1652953.

It is an arithmetic number, because the mean of its divisors is an integer number (2785365).

Almost surely, 2110745640 is an apocalyptic number.

110745640 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 110745640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133697520).

110745640 is an abundant number, since it is smaller than the sum of its proper divisors (156649400).

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

110745640 is a wasteful number, since it uses less digits than its factorization.

110745640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 110745640 is about 10523.5754380344. The cubic root of 110745640 is about 480.2221772377. Note that the first 3 decimals are identical.

The spelling of 110745640 in words is "one hundred ten million, seven hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 43 62 67 86 124 134 155 172 215 248 268 310 335 344 430 536 620 670 860 961 1240 1333 1340 1720 1922 2077 2666 2680 2881 3844 4154 4805 5332 5762 6665 7688 8308 9610 10385 10664 11524 13330 14405 16616 19220 20770 23048 26660 28810 38440 41323 41540 53320 57620 64387 82646 83080 89311 115240 128774 165292 178622 206615 257548 321935 330584 357244 413230 446555 515096 643870 714488 826460 893110 1287740 1652920 1786220 2575480 2768641 3572440 5537282 11074564 13843205 22149128 27686410 55372820 110745640