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2148744 = 233137197
BaseRepresentation
bin1000001100100110001000
311001011112010
420030212020
51022224434
6114015520
724156363
oct10144610
94034463
102148744
111238424
128775a0
135a3060
143dd0da
152c69e9
hex20c988

2148744 has 64 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 645120.

The previous prime is 2148739. The next prime is 2148761. The reversal of 2148744 is 4478412.

It is an unprimeable number.

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, 22104 + ... + 22200.

It is an arithmetic number, because the mean of its divisors is an integer number (92610).

22148744 is an apocalyptic number.

2148744 is a gapful number since it is divisible by the number (24) 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 2148744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2148744 is an abundant number, since it is smaller than the sum of its proper divisors (3778296).

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

2148744 is a wasteful number, since it uses less digits than its factorization.

2148744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 2148744 is about 1465.8594748474. The cubic root of 2148744 is about 129.0411502635.

The spelling of 2148744 in words is "two million, one hundred forty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 71 78 97 104 142 156 194 213 284 291 312 388 426 568 582 776 852 923 1164 1261 1704 1846 2328 2522 2769 3692 3783 5044 5538 6887 7384 7566 10088 11076 13774 15132 20661 22152 27548 30264 41322 55096 82644 89531 165288 179062 268593 358124 537186 716248 1074372 2148744