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2902064 = 241121499
BaseRepresentation
bin1011000100100000110000
312110102212212
423010200300
51220331224
6142111252
733444554
oct13044060
95412785
102902064
111702400
12b7b528
137a7bc9
14557864
153c4d0e
hex2c4830

2902064 has 30 divisors (see below), whose sum is σ = 6184500. Its totient is φ = 1318240.

The previous prime is 2902063. The next prime is 2902091. The reversal of 2902064 is 4602092.

It is a super-3 number, since 3×29020643 = 73323335374884114432, which contains 333 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2902063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1187 + ... + 2685.

It is an arithmetic number, because the mean of its divisors is an integer number (206150).

22902064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2902064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092250).

2902064 is an abundant number, since it is smaller than the sum of its proper divisors (3282436).

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

2902064 is a wasteful number, since it uses less digits than its factorization.

2902064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2902064 is about 1703.5445400693. The cubic root of 2902064 is about 142.6381383355.

The spelling of 2902064 in words is "two million, nine hundred two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1499 1936 2998 5996 11992 16489 23984 32978 65956 131912 181379 263824 362758 725516 1451032 2902064