Search a number
-
+
3211980 = 2235174767
BaseRepresentation
bin1100010000001011001100
320001012000020
430100023030
51310240410
6152502140
736205242
oct14201314
96035006
103211980
1118a4232
1210aa950
13885ca5
145d8792
15436a70
hex3102cc

3211980 has 96 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 777216.

The previous prime is 3211979. The next prime is 3211987. The reversal of 3211980 is 891123.

It is a self number, because there is not a number n which added to its sum of digits gives 3211980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3211987) 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, 47907 + ... + 47973.

It is an arithmetic number, because the mean of its divisors is an integer number (102816).

Almost surely, 23211980 is an apocalyptic number.

3211980 is a gapful number since it is divisible by the number (30) 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 3211980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

3211980 is an abundant number, since it is smaller than the sum of its proper divisors (6658356).

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

3211980 is a wasteful number, since it uses less digits than its factorization.

3211980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 3211980 is about 1792.1997656511. The cubic root of 3211980 is about 147.5449255089.

The spelling of 3211980 in words is "three million, two hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 47 51 60 67 68 85 94 102 134 141 170 188 201 204 235 255 268 282 335 340 402 470 510 564 670 705 799 804 940 1005 1020 1139 1340 1410 1598 2010 2278 2397 2820 3149 3196 3417 3995 4020 4556 4794 5695 6298 6834 7990 9447 9588 11390 11985 12596 13668 15745 15980 17085 18894 22780 23970 31490 34170 37788 47235 47940 53533 62980 68340 94470 107066 160599 188940 214132 267665 321198 535330 642396 802995 1070660 1605990 3211980