Search a number
-
+
3016980 = 2233537151
BaseRepresentation
bin1011100000100100010100
312200021112000
423200210110
51233020410
6144355300
734433601
oct13404424
95607460
103016980
11178077a
121015b30
138182c5
145876a8
153e8dc0
hex2e0914

3016980 has 96 divisors (see below), whose sum is σ = 9703680. Its totient is φ = 777600.

The previous prime is 3016963. The next prime is 3016997. The reversal of 3016980 is 896103.

3016980 = 242 + 252 + ... + 2082.

It is an interprime number because it is at equal distance from previous prime (3016963) and next prime (3016997).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 19905 + ... + 20055.

It is an arithmetic number, because the mean of its divisors is an integer number (101080).

Almost surely, 23016980 is an apocalyptic number.

3016980 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 3016980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851840).

3016980 is an abundant number, since it is smaller than the sum of its proper divisors (6686700).

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

3016980 is a wasteful number, since it uses less digits than its factorization.

3016980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 3016980 is about 1736.9455950029. The cubic root of 3016980 is about 144.4965496875.

The spelling of 3016980 in words is "three million, sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 151 180 185 222 270 302 333 370 444 453 540 555 604 666 740 755 906 999 1110 1332 1359 1510 1665 1812 1998 2220 2265 2718 3020 3330 3996 4077 4530 4995 5436 5587 6660 6795 8154 9060 9990 11174 13590 16308 16761 19980 20385 22348 27180 27935 33522 40770 50283 55870 67044 81540 83805 100566 111740 150849 167610 201132 251415 301698 335220 502830 603396 754245 1005660 1508490 3016980