Search a number
-
+
6890220840 = 2335613972371
BaseRepresentation
bin1100110101011000…
…00110110100101000
3122210012011111002110
412122230012310220
5103102344031330
63055413202320
7332513624256
oct63254066450
918705144073
106890220840
112a16393998
1214036303a0
1385a64a269
144951415d6
152a4d81db0
hex19ab06d28

6890220840 has 128 divisors (see below), whose sum is σ = 21071329920. Its totient is φ = 1801958400.

The previous prime is 6890220833. The next prime is 6890220877. The reversal of 6890220840 is 480220986.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2904855 + ... + 2907225.

It is an arithmetic number, because the mean of its divisors is an integer number (164619765).

Almost surely, 26890220840 is an apocalyptic number.

6890220840 is a gapful number since it is divisible by the number (60) 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 6890220840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535664960).

6890220840 is an abundant number, since it is smaller than the sum of its proper divisors (14181109080).

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

6890220840 is a wasteful number, since it uses less digits than its factorization.

6890220840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6890220840 is about 83007.3541320286. The cubic root of 6890220840 is about 1902.8784477397.

The spelling of 6890220840 in words is "six billion, eight hundred ninety million, two hundred twenty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 61 120 122 183 244 305 366 397 488 610 732 794 915 1191 1220 1464 1588 1830 1985 2371 2382 2440 3176 3660 3970 4742 4764 5955 7113 7320 7940 9484 9528 11855 11910 14226 15880 18968 23710 23820 24217 28452 35565 47420 47640 48434 56904 71130 72651 94840 96868 121085 142260 144631 145302 193736 242170 284520 289262 290604 363255 433893 484340 578524 581208 723155 726510 867786 941287 968680 1157048 1446310 1453020 1735572 1882574 2169465 2823861 2892620 2906040 3471144 3765148 4338930 4706435 5647722 5785240 7530296 8677860 9412870 11295444 14119305 17355720 18825740 22590888 28238610 37651480 56477220 57418507 112954440 114837014 172255521 229674028 287092535 344511042 459348056 574185070 689022084 861277605 1148370140 1378044168 1722555210 2296740280 3445110420 6890220840