Search a number
-
+
1150300704 = 253710316619
BaseRepresentation
bin100010010010000…
…0011001000100000
32222011111022220210
41010210003020200
54323434110304
6310050534120
740335252240
oct10444031040
92864438823
101150300704
11540350a43
12281297340
13154412c07
14acab3b20
156aebec89
hex44903220

1150300704 has 96 divisors (see below), whose sum is σ = 3484615680. Its totient is φ = 325446912.

The previous prime is 1150300691. The next prime is 1150300741. The reversal of 1150300704 is 4070030511.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60907 + ... + 77525.

It is an arithmetic number, because the mean of its divisors is an integer number (36298080).

Almost surely, 21150300704 is an apocalyptic number.

1150300704 is a gapful number since it is divisible by the number (14) 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 1150300704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742307840).

1150300704 is an abundant number, since it is smaller than the sum of its proper divisors (2334314976).

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

1150300704 is a wasteful number, since it uses less digits than its factorization.

1150300704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16742 (or 16734 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 1150300704 is about 33916.0832644337. The cubic root of 1150300704 is about 1047.7808624424.

The spelling of 1150300704 in words is "one billion, one hundred fifty million, three hundred thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 103 112 168 206 224 309 336 412 618 672 721 824 1236 1442 1648 2163 2472 2884 3296 4326 4944 5768 8652 9888 11536 16619 17304 23072 33238 34608 49857 66476 69216 99714 116333 132952 199428 232666 265904 348999 398856 465332 531808 697998 797712 930664 1395996 1595424 1711757 1861328 2791992 3423514 3722656 5135271 5583984 6847028 10270542 11167968 11982299 13694056 20541084 23964598 27388112 35946897 41082168 47929196 54776224 71893794 82164336 95858392 143787588 164328672 191716784 287575176 383433568 575150352 1150300704