Search a number
-
+
1150518330 = 234513372953
BaseRepresentation
bin100010010010011…
…1000010000111010
32222011220101110000
41010210320100322
54324013041310
6310055333430
740340146563
oct10444702072
92864811400
101150518330
1154048a4a5
12281381276
1315448aca0
14acb2d16a
156b0144c0
hex4493843a

1150518330 has 160 divisors (see below), whose sum is σ = 3422787984. Its totient is φ = 275457024.

The previous prime is 1150518287. The next prime is 1150518359. The reversal of 1150518330 is 338150511.

1150518330 is a `hidden beast` number, since 115 + 0 + 518 + 3 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 724632561 + 425885769 = 26919^2 + 20637^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1150518294 and 1150518303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 388134 + ... + 391086.

Almost surely, 21150518330 is an apocalyptic number.

1150518330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150518330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711393992).

1150518330 is an abundant number, since it is smaller than the sum of its proper divisors (2272269654).

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

1150518330 is a wasteful number, since it uses less digits than its factorization.

1150518330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1150518330 is about 33919.2914135894. The cubic root of 1150518330 is about 1047.8469350147.

Adding to 1150518330 its reverse (338150511), we get a palindrome (1488668841).

The spelling of 1150518330 in words is "one billion, one hundred fifty million, five hundred eighteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 37 39 45 54 65 74 78 81 90 111 117 130 135 162 185 195 222 234 270 333 351 370 390 405 481 555 585 666 702 810 962 999 1053 1110 1170 1443 1665 1755 1998 2106 2405 2886 2953 2997 3330 3510 4329 4810 4995 5265 5906 5994 7215 8658 8859 9990 10530 12987 14430 14765 14985 17718 21645 25974 26577 29530 29970 38389 38961 43290 44295 53154 64935 76778 77922 79731 88590 109261 115167 129870 132885 159462 191945 194805 218522 230334 239193 265770 327783 345501 383890 389610 398655 478386 546305 575835 655566 691002 797310 983349 1036503 1092610 1151670 1195965 1420393 1638915 1727505 1966698 2073006 2391930 2840786 2950047 3109509 3277830 3455010 4261179 4916745 5182515 5900094 6219018 7101965 8522358 8850141 9833490 10365030 12783537 14203930 14750235 15547545 17700282 21305895 25567074 29500470 31095090 38350611 42611790 44250705 63917685 76701222 88501410 115051833 127835370 191753055 230103666 383506110 575259165 1150518330