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2506896 = 24337829
BaseRepresentation
bin1001100100000010010000
311201100211000
421210002100
51120210041
6125422000
730210510
oct11440220
94640730
102506896
111462517
12a0a900
1369a092
14493840
15347bb6
hex264090

2506896 has 80 divisors (see below), whose sum is σ = 8233600. Its totient is φ = 715392.

The previous prime is 2506883. The next prime is 2506909. The reversal of 2506896 is 6986052.

It is an interprime number because it is at equal distance from previous prime (2506883) and next prime (2506909).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2506896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2610 + ... + 3438.

It is an arithmetic number, because the mean of its divisors is an integer number (102920).

22506896 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 2506896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116800).

2506896 is an abundant number, since it is smaller than the sum of its proper divisors (5726704).

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

2506896 is a wasteful number, since it uses less digits than its factorization.

2506896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2506896 is about 1583.3180350138. The cubic root of 2506896 is about 135.8455570901.

The spelling of 2506896 in words is "two million, five hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 829 1008 1512 1658 2487 3024 3316 4974 5803 6632 7461 9948 11606 13264 14922 17409 19896 22383 23212 29844 34818 39792 44766 46424 52227 59688 69636 89532 92848 104454 119376 139272 156681 179064 208908 278544 313362 358128 417816 626724 835632 1253448 2506896