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117030240 = 25325671213
BaseRepresentation
bin1101111100110…
…11110101100000
322011012202022100
412332123311200
5214424431430
615340210400
72620512015
oct676336540
9264182270
10117030240
1160073608
1233239a00
131b327282
141178570c
15a41a960
hex6f9bd60

117030240 has 144 divisors (see below), whose sum is σ = 405660528. Its totient is φ = 30716928.

The previous prime is 117030229. The next prime is 117030259. The reversal of 117030240 is 42030711.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95874 + ... + 97086.

It is an arithmetic number, because the mean of its divisors is an integer number (2817087).

Almost surely, 2117030240 is an apocalyptic number.

117030240 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 117030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202830264).

117030240 is an abundant number, since it is smaller than the sum of its proper divisors (288630288).

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

117030240 is a wasteful number, since it uses less digits than its factorization.

117030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 117030240 is about 10818.0515805759. The cubic root of 117030240 is about 489.1394586367.

Adding to 117030240 its reverse (42030711), we get a palindrome (159060951).

The spelling of 117030240 in words is "one hundred seventeen million, thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 67 72 80 90 96 120 134 144 160 180 201 240 268 288 335 360 402 480 536 603 670 720 804 1005 1072 1206 1213 1340 1440 1608 2010 2144 2412 2426 2680 3015 3216 3639 4020 4824 4852 5360 6030 6065 6432 7278 8040 9648 9704 10720 10917 12060 12130 14556 16080 18195 19296 19408 21834 24120 24260 29112 32160 36390 38816 43668 48240 48520 54585 58224 72780 81271 87336 96480 97040 109170 116448 145560 162542 174672 194080 218340 243813 291120 325084 349344 406355 436680 487626 582240 650168 731439 812710 873360 975252 1219065 1300336 1462878 1625420 1746720 1950504 2438130 2600672 2925756 3250840 3657195 3901008 4876260 5851512 6501680 7314390 7802016 9752520 11703024 13003360 14628780 19505040 23406048 29257560 39010080 58515120 117030240