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2148608 = 28711109
BaseRepresentation
bin1000001100100100000000
311001011100002
420030210000
51022223413
6114015132
724156110
oct10144400
94034302
102148608
111238310
128774a8
135a2c87
143dd040
152c6958
hex20c900

2148608 has 72 divisors (see below), whose sum is σ = 5396160. Its totient is φ = 829440.

The previous prime is 2148607. The next prime is 2148617. The reversal of 2148608 is 8068412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19658 + ... + 19766.

22148608 is an apocalyptic number.

2148608 is a gapful number since it is divisible by the number (28) 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 2148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698080).

2148608 is an abundant number, since it is smaller than the sum of its proper divisors (3247552).

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

2148608 is a wasteful number, since it uses less digits than its factorization.

2148608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2148608 is about 1465.8130849464. The cubic root of 2148608 is about 129.0384277480.

The spelling of 2148608 in words is "two million, one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 109 112 128 154 176 218 224 256 308 352 436 448 616 704 763 872 896 1199 1232 1408 1526 1744 1792 2398 2464 2816 3052 3488 4796 4928 6104 6976 8393 9592 9856 12208 13952 16786 19184 19712 24416 27904 33572 38368 48832 67144 76736 97664 134288 153472 195328 268576 306944 537152 1074304 2148608