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113324040 = 233251718517
BaseRepresentation
bin1101100000100…
…11000000001000
321220020110100200
412300103000020
5213002332130
615124532200
72544144534
oct660230010
9256213320
10113324040
1158a72035
1231b51060
131a62a35b
141109cbc4
159e37760
hex6c13008

113324040 has 96 divisors (see below), whose sum is σ = 389989080. Its totient is φ = 28440576.

The previous prime is 113324027. The next prime is 113324063. The reversal of 113324040 is 40423311.

It can be written as a sum of positive squares in 4 ways, for example, as 93663684 + 19660356 = 9678^2 + 4434^2 .

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

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, 3139 + ... + 15378.

Almost surely, 2113324040 is an apocalyptic number.

113324040 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 113324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194994540).

113324040 is an abundant number, since it is smaller than the sum of its proper divisors (276665040).

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

113324040 is a wasteful number, since it uses less digits than its factorization.

113324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18551 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113324040 is about 10645.3764611685. The cubic root of 113324040 is about 483.9204955582.

Adding to 113324040 its reverse (40423311), we get a palindrome (153747351).

The spelling of 113324040 in words is "one hundred thirteen million, three hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 18517 37034 55551 74068 92585 111102 148136 166653 185170 222204 277755 314789 333306 370340 444408 555510 629578 666612 740680 833265 944367 1111020 1259156 1333224 1573945 1666530 1888734 2222040 2518312 2833101 3147890 3333060 3777468 4721835 5666202 6295780 6666120 7554936 9443670 11332404 12591560 14165505 18887340 22664808 28331010 37774680 56662020 113324040