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2933980 = 2257191103
BaseRepresentation
bin1011001100010011011100
312112001122221
423030103130
51222341410
6142515124
733636610
oct13142334
95461587
102933980
111724385
12b95aa4
137b95aa
14565340
153ce4da
hex2cc4dc

2933980 has 48 divisors (see below), whose sum is σ = 7418880. Its totient is φ = 952128.

The previous prime is 2933971. The next prime is 2933993. The reversal of 2933980 is 893392.

2933980 = T239 + T240 + ... + T314.

2933980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2109 + ... + 3211.

It is an arithmetic number, because the mean of its divisors is an integer number (154560).

22933980 is an apocalyptic number.

2933980 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 2933980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709440).

2933980 is an abundant number, since it is smaller than the sum of its proper divisors (4484900).

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

2933980 is a wasteful number, since it uses less digits than its factorization.

2933980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2933980 is about 1712.8864527458. The cubic root of 2933980 is about 143.1591297490.

The spelling of 2933980 in words is "two million, nine hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1103 1330 2206 2660 4412 5515 7721 11030 15442 20957 22060 30884 38605 41914 77210 83828 104785 146699 154420 209570 293398 419140 586796 733495 1466990 2933980