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2149728 = 25372457
BaseRepresentation
bin1000001100110101100000
311001012212120
420030311200
51022242403
6114024240
724162300
oct10146540
94035776
102149728
111239139
12878080
135a3639
143dd600
152c6e53
hex20cd60

2149728 has 72 divisors (see below), whose sum is σ = 6578712. Its totient is φ = 612864.

The previous prime is 2149727. The next prime is 2149781. The reversal of 2149728 is 8279412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149727) 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, 4476 + ... + 4932.

It is an arithmetic number, because the mean of its divisors is an integer number (91371).

22149728 is an apocalyptic number.

2149728 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 2149728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3289356).

2149728 is an abundant number, since it is smaller than the sum of its proper divisors (4428984).

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

2149728 is a wasteful number, since it uses less digits than its factorization.

2149728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 2149728 is about 1466.1950756976. The cubic root of 2149728 is about 129.0608450425.

The spelling of 2149728 in words is "two million, one hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 457 588 672 784 914 1176 1371 1568 1828 2352 2742 3199 3656 4704 5484 6398 7312 9597 10968 12796 14624 19194 21936 22393 25592 38388 43872 44786 51184 67179 76776 89572 102368 134358 153552 179144 268716 307104 358288 537432 716576 1074864 2149728