Search a number
-
+
6355980330 = 2357179353479
BaseRepresentation
bin1011110101101100…
…01001000000101010
3121101221220020212220
411322312021000222
5101004112332310
62530410414510
7313335640620
oct57266110052
917357806786
106355980330
112771870107
121294731436
137a3a6700b
144441d5510
15273003670
hex17ad8902a

6355980330 has 128 divisors (see below), whose sum is σ = 17617305600. Its totient is φ = 1437579264.

The previous prime is 6355980317. The next prime is 6355980331. The reversal of 6355980330 is 330895536.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6355980331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13269031 + ... + 13269509.

It is an arithmetic number, because the mean of its divisors is an integer number (137635200).

Almost surely, 26355980330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6355980330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8808652800).

6355980330 is an abundant number, since it is smaller than the sum of its proper divisors (11261325270).

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

6355980330 is a wasteful number, since it uses less digits than its factorization.

6355980330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028.

The product of its (nonzero) digits is 291600, while the sum is 42.

The square root of 6355980330 is about 79724.4023495943. The cubic root of 6355980330 is about 1852.3690448533.

The spelling of 6355980330 in words is "six billion, three hundred fifty-five million, nine hundred eighty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 210 353 358 479 537 706 895 958 1059 1074 1253 1437 1765 1790 2118 2395 2471 2506 2685 2874 3353 3530 3759 4790 4942 5295 5370 6265 6706 7185 7413 7518 10059 10590 12355 12530 14370 14826 16765 18795 20118 24710 33530 37065 37590 50295 63187 74130 85741 100590 126374 169087 171482 189561 257223 315935 338174 379122 428705 442309 507261 514446 600187 631870 845435 857410 884618 947805 1014522 1183609 1200374 1286115 1326927 1690870 1800561 1895610 2211545 2367218 2536305 2572230 2653854 3000935 3550827 3601122 4423090 5072610 5918045 6001870 6634635 7101654 9002805 11836090 13269270 17754135 18005610 30266573 35508270 60533146 90799719 151332865 181599438 211866011 302665730 423732022 453998595 635598033 907997190 1059330055 1271196066 2118660110 3177990165 6355980330