[go: up one dir, main page]

Search a number
-
+
113070240 = 25325233337
BaseRepresentation
bin1101011110101…
…01000010100000
321212202120012200
412233111002200
5212421221430
615115253200
72542036563
oct657250240
9255676180
10113070240
1158909388
1231a4a200
131a56b98a
14110344da
159dd7460
hex6bd50a0

113070240 has 144 divisors (see below), whose sum is σ = 388658088. Its totient is φ = 29933568.

The previous prime is 113070239. The next prime is 113070257. The reversal of 113070240 is 42070311.

It can be written as a sum of positive squares in 4 ways, for example, as 61402896 + 51667344 = 7836^2 + 7188^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335352 + ... + 335688.

Almost surely, 2113070240 is an apocalyptic number.

113070240 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 113070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194329044).

113070240 is an abundant number, since it is smaller than the sum of its proper divisors (275587848).

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

113070240 is a wasteful number, since it uses less digits than its factorization.

113070240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

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

The square root of 113070240 is about 10633.4491111774. The cubic root of 113070240 is about 483.5589634881.

The spelling of 113070240 in words is "one hundred thirteen million, seventy 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 72 80 90 96 120 144 160 180 233 240 288 337 360 466 480 674 699 720 932 1011 1165 1348 1398 1440 1685 1864 2022 2097 2330 2696 2796 3033 3370 3495 3728 4044 4194 4660 5055 5392 5592 6066 6740 6990 7456 8088 8388 9320 10110 10485 10784 11184 12132 13480 13980 15165 16176 16776 18640 20220 20970 22368 24264 26960 27960 30330 32352 33552 37280 40440 41940 48528 53920 55920 60660 67104 78521 80880 83880 97056 111840 121320 157042 161760 167760 235563 242640 314084 335520 392605 471126 485280 628168 706689 785210 942252 1177815 1256336 1413378 1570420 1884504 2355630 2512672 2826756 3140840 3533445 3769008 4711260 5653512 6281680 7066890 7538016 9422520 11307024 12563360 14133780 18845040 22614048 28267560 37690080 56535120 113070240