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113220240 = 24357193547
BaseRepresentation
bin1101011111110…
…01101010010000
321220001011222020
412233321222100
5212441021430
615122411440
72543233110
oct657715220
9256034866
10113220240
1158a01051
1231b00b80
131a5c2033
1411073040
159e16b10
hex6bf9a90

113220240 has 160 divisors (see below), whose sum is σ = 422353920. Its totient is φ = 24509952.

The previous prime is 113220223. The next prime is 113220241. The reversal of 113220240 is 42022311.

113220240 = T335 + T336 + ... + T894.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (113220241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30147 + ... + 33693.

It is an arithmetic number, because the mean of its divisors is an integer number (2639712).

Almost surely, 2113220240 is an apocalyptic number.

113220240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10640×10641.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211176960).

113220240 is an abundant number, since it is smaller than the sum of its proper divisors (309133680).

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

113220240 is a wasteful number, since it uses less digits than its factorization.

113220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113220240 is about 10640.4999882524. The cubic root of 113220240 is about 483.7727002281.

Adding to 113220240 its reverse (42022311), we get a palindrome (155242551).

The spelling of 113220240 in words is "one hundred thirteen million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3547 3990 4560 5320 6384 7094 7980 10640 10641 14188 15960 17735 21282 24829 28376 31920 35470 42564 49658 53205 56752 67393 70940 74487 85128 99316 106410 124145 134786 141880 148974 170256 198632 202179 212820 248290 269572 283760 297948 336965 372435 397264 404358 425640 471751 496580 539144 595896 673930 744870 808716 851280 943502 993160 1010895 1078288 1191792 1347860 1415253 1489740 1617432 1887004 1986320 2021790 2358755 2695720 2830506 2979480 3234864 3774008 4043580 4717510 5391440 5661012 5958960 7076265 7548016 8087160 9435020 11322024 14152530 16174320 18870040 22644048 28305060 37740080 56610120 113220240