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2976064 = 26721373
BaseRepresentation
bin1011010110100101000000
312121012101121
423112211000
51230213224
6143442024
734203400
oct13264500
95535347
102976064
111752a63
12bb6314
138027b0
14576800
153dbbe4
hex2d6940

2976064 has 84 divisors (see below), whose sum is σ = 7499604. Its totient is φ = 1161216.

The previous prime is 2976053. The next prime is 2976089. The reversal of 2976064 is 4606792.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 1960000 = 1008^2 + 1400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40732 + ... + 40804.

It is an arithmetic number, because the mean of its divisors is an integer number (89281).

22976064 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 2976064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749802).

2976064 is an abundant number, since it is smaller than the sum of its proper divisors (4523540).

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

2976064 is a wasteful number, since it uses less digits than its factorization.

2976064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 2976064 is about 1725.1272416839. The cubic root of 2976064 is about 143.8403580619.

The spelling of 2976064 in words is "two million, nine hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 73 91 98 104 112 146 182 196 208 224 292 364 392 416 448 511 584 637 728 784 832 949 1022 1168 1274 1456 1568 1898 2044 2336 2548 2912 3136 3577 3796 4088 4672 5096 5824 6643 7154 7592 8176 10192 13286 14308 15184 16352 20384 26572 28616 30368 32704 40768 46501 53144 57232 60736 93002 106288 114464 186004 212576 228928 372008 425152 744016 1488032 2976064