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3010980 = 2235767107
BaseRepresentation
bin1011011111000110100100
312122222021210
423133012210
51232322410
6144311420
734410240
oct13370644
95588253
103010980
111777215
121012570
1381565b
14585420
153e7220
hex2df1a4

3010980 has 96 divisors (see below), whose sum is σ = 9870336. Its totient is φ = 671616.

The previous prime is 3010979. The next prime is 3010981. The reversal of 3010980 is 890103.

It is an interprime number because it is at equal distance from previous prime (3010979) and next prime (3010981).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3010981) 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, 28087 + ... + 28193.

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

Almost surely, 23010980 is an apocalyptic number.

3010980 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 3010980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168).

3010980 is an abundant number, since it is smaller than the sum of its proper divisors (6859356).

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

3010980 is a wasteful number, since it uses less digits than its factorization.

3010980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 3010980 is about 1735.2175656096. The cubic root of 3010980 is about 144.4006972493.

3010980 divided by its sum of digits (21) gives a triangular number (143380 = T535).

The spelling of 3010980 in words is "three million, ten thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 107 134 140 201 210 214 268 321 335 402 420 428 469 535 642 670 749 804 938 1005 1070 1284 1340 1407 1498 1605 1876 2010 2140 2247 2345 2814 2996 3210 3745 4020 4494 4690 5628 6420 7035 7169 7490 8988 9380 11235 14070 14338 14980 21507 22470 28140 28676 35845 43014 44940 50183 71690 86028 100366 107535 143380 150549 200732 215070 250915 301098 430140 501830 602196 752745 1003660 1505490 3010980