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2630496 = 253114753
BaseRepresentation
bin1010000010001101100000
311221122100210
422002031200
51133133441
6132214120
731234041
oct12021540
94848323
102630496
111537370
12a6a340
1371140b
144c68c8
1536e616
hex282360

2630496 has 96 divisors (see below), whose sum is σ = 7838208. Its totient is φ = 765440.

The previous prime is 2630491. The next prime is 2630501. The reversal of 2630496 is 6940362.

It is an interprime number because it is at equal distance from previous prime (2630491) and next prime (2630501).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2630491) 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 15 ways as a sum of consecutive naturals, for example, 49606 + ... + 49658.

It is an arithmetic number, because the mean of its divisors is an integer number (81648).

22630496 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 2630496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104).

2630496 is an abundant number, since it is smaller than the sum of its proper divisors (5207712).

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

2630496 is a wasteful number, since it uses less digits than its factorization.

2630496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 2630496 is about 1621.8803901645. The cubic root of 2630496 is about 138.0424150235.

The spelling of 2630496 in words is "two million, six hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 53 66 88 94 96 106 132 141 159 176 188 212 264 282 318 352 376 424 517 528 564 583 636 752 848 1034 1056 1128 1166 1272 1504 1551 1696 1749 2068 2256 2332 2491 2544 3102 3498 4136 4512 4664 4982 5088 6204 6996 7473 8272 9328 9964 12408 13992 14946 16544 18656 19928 24816 27401 27984 29892 39856 49632 54802 55968 59784 79712 82203 109604 119568 164406 219208 239136 328812 438416 657624 876832 1315248 2630496