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2926980 = 22325723101
BaseRepresentation
bin1011001010100110000100
312111201001200
423022212010
51222130410
6142422500
733610320
oct13124604
95451050
102926980
11171a0a1
12b91a30
137b6354
14562980
153cc3c0
hex2ca984

2926980 has 144 divisors (see below), whose sum is σ = 10692864. Its totient is φ = 633600.

The previous prime is 2926961. The next prime is 2926981. The reversal of 2926980 is 896292.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2926981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28930 + ... + 29030.

It is an arithmetic number, because the mean of its divisors is an integer number (74256).

22926980 is an apocalyptic number.

2926980 is a gapful number since it is divisible by the number (20) 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 2926980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5346432).

2926980 is an abundant number, since it is smaller than the sum of its proper divisors (7765884).

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

2926980 is a wasteful number, since it uses less digits than its factorization.

2926980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2926980 is about 1710.8418980140. The cubic root of 2926980 is about 143.0451876037.

The spelling of 2926980 in words is "two million, nine hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 101 105 115 126 138 140 161 180 202 207 210 230 252 276 303 315 322 345 404 414 420 460 483 505 606 630 644 690 707 805 828 909 966 1010 1035 1212 1260 1380 1414 1449 1515 1610 1818 1932 2020 2070 2121 2323 2415 2828 2898 3030 3220 3535 3636 4140 4242 4545 4646 4830 5796 6060 6363 6969 7070 7245 8484 9090 9292 9660 10605 11615 12726 13938 14140 14490 16261 18180 20907 21210 23230 25452 27876 28980 31815 32522 34845 41814 42420 46460 48783 63630 65044 69690 81305 83628 97566 104535 127260 139380 146349 162610 195132 209070 243915 292698 325220 418140 487830 585396 731745 975660 1463490 2926980