Search a number
-
+
1730068120 = 2351147269311
BaseRepresentation
bin110011100011110…
…1011111010011000
311110120102120022001
41213013223322120
512020344134440
6443401210344
760605223244
oct14707537230
94416376261
101730068120
1180863a870
124034909b4
13217576561
14125ab1424
15a1d42b9a
hex671ebe98

1730068120 has 128 divisors (see below), whose sum is σ = 4367001600. Its totient is φ = 611468800.

The previous prime is 1730068117. The next prime is 1730068129. The reversal of 1730068120 is 218600371.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1730068129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5562765 + ... + 5563075.

It is an arithmetic number, because the mean of its divisors is an integer number (34117200).

Almost surely, 21730068120 is an apocalyptic number.

1730068120 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 1730068120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183500800).

1730068120 is an abundant number, since it is smaller than the sum of its proper divisors (2636933480).

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

1730068120 is a wasteful number, since it uses less digits than its factorization.

1730068120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1730068120 is about 41594.0875606137. The cubic root of 1730068120 is about 1200.4785406218.

Adding to 1730068120 its reverse (218600371), we get a palindrome (1948668491).

The spelling of 1730068120 in words is "one billion, seven hundred thirty million, sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 269 311 376 440 470 517 538 622 940 1034 1076 1244 1345 1555 1880 2068 2152 2488 2585 2690 2959 3110 3421 4136 5170 5380 5918 6220 6842 10340 10760 11836 12440 12643 13684 14617 14795 17105 20680 23672 25286 27368 29234 29590 34210 50572 58468 59180 63215 68420 73085 83659 101144 116936 118360 126430 136840 139073 146170 160787 167318 252860 278146 292340 321574 334636 418295 505720 556292 584680 643148 669272 695365 803935 836590 920249 1112584 1286296 1390730 1607870 1673180 1840498 2781460 3215740 3346360 3680996 3931973 4601245 5562920 6431480 7361992 7863946 9202490 15727892 18404980 19659865 31455784 36809960 39319730 43251703 78639460 86503406 157278920 173006812 216258515 346013624 432517030 865034060 1730068120