Search a number
-
+
1133232240 = 243571739679
BaseRepresentation
bin100001110001011…
…1100000001110000
32220222101011101110
41003202330001300
54310101412430
6304241033320
740040213040
oct10342740160
92828334343
101133232240
11531753178
12277625840
13150a17c2a
14aa70d720
156974c7b0
hex438bc070

1133232240 has 160 divisors (see below), whose sum is σ = 4251156480. Its totient is φ = 243781632.

The previous prime is 1133232239. The next prime is 1133232271. The reversal of 1133232240 is 422323311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8721 + ... + 48399.

It is an arithmetic number, because the mean of its divisors is an integer number (26569728).

Almost surely, 21133232240 is an apocalyptic number.

1133232240 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 1133232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125578240).

1133232240 is an abundant number, since it is smaller than the sum of its proper divisors (3117924240).

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

1133232240 is a wasteful number, since it uses less digits than its factorization.

1133232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39719 (or 39713 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 1133232240 is about 33663.5149679887. The cubic root of 1133232240 is about 1042.5726004566.

Adding to 1133232240 its reverse (422323311), we get a palindrome (1555555551).

The spelling of 1133232240 in words is "one billion, one hundred thirty-three million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1680 1785 1904 2040 2380 2856 3570 4080 4760 5712 7140 9520 14280 28560 39679 79358 119037 158716 198395 238074 277753 317432 396790 476148 555506 595185 634864 674543 793580 833259 952296 1111012 1190370 1349086 1388765 1587160 1666518 1904592 2023629 2222024 2380740 2698172 2777530 3174320 3333036 3372715 4047258 4166295 4444048 4721801 4761480 5396344 5555060 6666072 6745430 8094516 8332590 9443602 9522960 10118145 10792688 11110120 13332144 13490860 14165403 16189032 16665180 18887204 20236290 22220240 23609005 26981720 28330806 32378064 33330360 37774408 40472580 47218010 53963440 56661612 66660720 70827015 75548816 80945160 94436020 113323224 141654030 161890320 188872040 226646448 283308060 377744080 566616120 1133232240