Search a number
-
+
6720290010 = 2335734710247
BaseRepresentation
bin1100100001000111…
…10111110011011010
3122100100102002211000
412100203313303122
5102230343240020
63030503045430
7325351344150
oct62043676332
918310362730
106720290010
112939479395
121376740876
13831390585
1447a7493d0
15294eb7090
hex1908f7cda

6720290010 has 128 divisors (see below), whose sum is σ = 20541911040. Its totient is φ = 1531490112.

The previous prime is 6720289993. The next prime is 6720290023. The reversal of 6720290010 is 100920276.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650707 + ... + 660953.

It is an arithmetic number, because the mean of its divisors is an integer number (160483680).

Almost surely, 26720290010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6720290010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10270955520).

6720290010 is an abundant number, since it is smaller than the sum of its proper divisors (13821621030).

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

6720290010 is a wasteful number, since it uses less digits than its factorization.

6720290010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6720290010 is about 81977.3749884686. The cubic root of 6720290010 is about 1887.1047381336.

The spelling of 6720290010 in words is "six billion, seven hundred twenty million, two hundred ninety thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 347 378 630 694 945 1041 1735 1890 2082 2429 3123 3470 4858 5205 6246 7287 9369 10247 10410 12145 14574 15615 18738 20494 21861 24290 30741 31230 36435 43722 46845 51235 61482 65583 71729 72870 92223 93690 102470 109305 131166 143458 153705 184446 215187 218610 276669 307410 327915 358645 430374 461115 553338 645561 655830 717290 922230 1075935 1291122 1383345 1936683 2151870 2766690 3227805 3555709 3873366 6455610 7111418 9683415 10667127 17778545 19366830 21334254 24889963 32001381 35557090 49779926 53335635 64002762 74669889 96004143 106671270 124449815 149339778 160006905 192008286 224009667 248899630 320013810 373349445 448019334 480020715 672029001 746698890 960041430 1120048335 1344058002 2240096670 3360145005 6720290010