Search a number
-
+
3164980 = 2257133747
BaseRepresentation
bin1100000100101100110100
312221210112111
430010230310
51302234410
6151500404
735621230
oct14045464
95853474
103164980
111871995
121087704
1386a790
145c55c0
15427b8a
hex304b34

3164980 has 96 divisors (see below), whose sum is σ = 8580096. Its totient is φ = 953856.

The previous prime is 3164969. The next prime is 3164981. The reversal of 3164980 is 894613.

3164980 = T279 + T280 + ... + T343.

3164980 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3164981) 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, 67317 + ... + 67363.

It is an arithmetic number, because the mean of its divisors is an integer number (89376).

Almost surely, 23164980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3164980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048).

3164980 is an abundant number, since it is smaller than the sum of its proper divisors (5415116).

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

3164980 is a wasteful number, since it uses less digits than its factorization.

3164980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 3164980 is about 1779.0390664626. The cubic root of 3164980 is about 146.8217253594.

The spelling of 3164980 in words is "three million, one hundred sixty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 47 52 65 70 74 91 94 130 140 148 182 185 188 235 259 260 329 364 370 455 470 481 518 611 658 740 910 940 962 1036 1222 1295 1316 1645 1739 1820 1924 2405 2444 2590 3055 3290 3367 3478 4277 4810 5180 6110 6580 6734 6956 8554 8695 9620 12173 12220 13468 16835 17108 17390 21385 22607 24346 33670 34780 42770 45214 48692 60865 67340 85540 90428 113035 121730 158249 226070 243460 316498 452140 632996 791245 1582490 3164980