Search a number
-
+
1150026240 = 29351113613
BaseRepresentation
bin100010010001100…
…0000001000000000
32222010222101102110
41010203000020000
54323401314430
6310041015320
740333030116
oct10443001000
92863871373
101150026240
11540183810
12281184540
13154347ccc
14aca41ab6
156ae687b0
hex448c0200

1150026240 has 160 divisors (see below), whose sum is σ = 4011011136. Its totient is φ = 278773760.

The previous prime is 1150026239. The next prime is 1150026247. The reversal of 1150026240 is 426200511.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1150026247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77674 + ... + 91286.

Almost surely, 21150026240 is an apocalyptic number.

1150026240 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 1150026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005505568).

1150026240 is an abundant number, since it is smaller than the sum of its proper divisors (2860984896).

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

1150026240 is a wasteful number, since it uses less digits than its factorization.

1150026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13650 (or 13634 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1150026240 is about 33912.0368011124. The cubic root of 1150026240 is about 1047.6975216252.

Adding to 1150026240 its reverse (426200511), we get a palindrome (1576226751).

The spelling of 1150026240 in words is "one billion, one hundred fifty million, twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 13613 14080 16896 21120 27226 28160 40839 42240 54452 68065 81678 84480 108904 136130 149743 163356 204195 217808 272260 299486 326712 408390 435616 449229 544520 598972 653424 748715 816780 871232 898458 1089040 1197944 1306848 1497430 1633560 1742464 1796916 2178080 2246145 2395888 2613696 2994860 3267120 3484928 3593832 4356160 4492290 4791776 5227392 5989720 6534240 6969856 7187664 8712320 8984580 9583552 10454784 11979440 13068480 14375328 17424640 17969160 19167104 20909568 23958880 26136960 28750656 34849280 35938320 38334208 47917760 52273920 57501312 71876640 76668416 95835520 104547840 115002624 143753280 191671040 230005248 287506560 383342080 575013120 1150026240