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2139648 = 2937199
BaseRepresentation
bin1000001010011000000000
311000201001020
420022120000
51021432043
6113505440
724121020
oct10123000
94021036
102139648
111231605
12872280
1359bb84
143d9a80
152c3e83
hex20a600

2139648 has 80 divisors (see below), whose sum is σ = 6547200. Its totient is φ = 608256.

The previous prime is 2139611. The next prime is 2139653. The reversal of 2139648 is 8469312.

2139648 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 10653 + ... + 10851.

It is an arithmetic number, because the mean of its divisors is an integer number (81840).

22139648 is an apocalyptic number.

2139648 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 2139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273600).

2139648 is an abundant number, since it is smaller than the sum of its proper divisors (4407552).

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

2139648 is an equidigital number, since it uses as much as digits as its factorization.

2139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 2139648 is about 1462.7535677618. The cubic root of 2139648 is about 128.8588083235.

The spelling of 2139648 in words is "two million, one hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 199 224 256 336 384 398 448 512 597 672 768 796 896 1194 1344 1393 1536 1592 1792 2388 2688 2786 3184 3584 4179 4776 5376 5572 6368 8358 9552 10752 11144 12736 16716 19104 22288 25472 33432 38208 44576 50944 66864 76416 89152 101888 133728 152832 178304 267456 305664 356608 534912 713216 1069824 2139648