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2990904 = 233719937
BaseRepresentation
bin1011011010001100111000
312121221202020
423122030320
51231202104
6144034440
734264560
oct13321470
95557666
102990904
111763124
121002a20
13809487
1457bda0
153e12d9
hex2da338

2990904 has 64 divisors (see below), whose sum is σ = 9004800. Its totient is φ = 808704.

The previous prime is 2990899. The next prime is 2990917. The reversal of 2990904 is 4090992.

It is a happy number.

2990904 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, 2724 + ... + 3660.

It is an arithmetic number, because the mean of its divisors is an integer number (140700).

22990904 is an apocalyptic number.

2990904 is a gapful number since it is divisible by the number (24) 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 2990904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502400).

2990904 is an abundant number, since it is smaller than the sum of its proper divisors (6013896).

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

2990904 is a wasteful number, since it uses less digits than its factorization.

2990904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2990904 is about 1729.4230251734. The cubic root of 2990904 is about 144.0790461074.

The spelling of 2990904 in words is "two million, nine hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 937 1064 1596 1874 2811 3192 3748 5622 6559 7496 11244 13118 17803 19677 22488 26236 35606 39354 52472 53409 71212 78708 106818 124621 142424 157416 213636 249242 373863 427272 498484 747726 996968 1495452 2990904