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2896704 = 263247107
BaseRepresentation
bin1011000011001101000000
312110011112100
423003031000
51220143304
6142030400
733423126
oct13031500
95404470
102896704
1116a9378
12b78400
137a5635
14555916
153c3439
hex2c3340

2896704 has 84 divisors (see below), whose sum is σ = 8558784. Its totient is φ = 936192.

The previous prime is 2896703. The next prime is 2896717. The reversal of 2896704 is 4076982.

2896704 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2896703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27019 + ... + 27125.

22896704 is an apocalyptic number.

2896704 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 2896704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279392).

2896704 is an abundant number, since it is smaller than the sum of its proper divisors (5662080).

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

2896704 is a wasteful number, since it uses less digits than its factorization.

2896704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2896704 is about 1701.9706225432. The cubic root of 2896704 is about 142.5502685070.

It can be divided in two parts, 2896 and 704, that added together give a square (3600 = 602).

The spelling of 2896704 in words is "two million, eight hundred ninety-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 107 141 144 188 192 214 282 288 321 376 423 428 564 576 642 752 846 856 963 1128 1284 1504 1692 1712 1926 2256 2568 3008 3384 3424 3852 4512 5029 5136 6768 6848 7704 9024 10058 10272 13536 15087 15408 20116 20544 27072 30174 30816 40232 45261 60348 61632 80464 90522 120696 160928 181044 241392 321856 362088 482784 724176 965568 1448352 2896704