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2149740 = 223451327
BaseRepresentation
bin1000001100110101101100
311001012220000
420030311230
51022242430
6114024300
724162315
oct10146554
94035800
102149740
11123914a
12878090
135a3648
143dd60c
152c6e60
hex20cd6c

2149740 has 60 divisors (see below), whose sum is σ = 6748896. Its totient is φ = 572832.

The previous prime is 2149727. The next prime is 2149781. The reversal of 2149740 is 479412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 957 + ... + 2283.

22149740 is an apocalyptic number.

2149740 is a gapful number since it is divisible by the number (20) 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 2149740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374448).

2149740 is an abundant number, since it is smaller than the sum of its proper divisors (4599156).

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

2149740 is a wasteful number, since it uses less digits than its factorization.

2149740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1348 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2149740 is about 1466.1991679168. The cubic root of 2149740 is about 129.0610851856.

The spelling of 2149740 in words is "two million, one hundred forty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1327 1620 2654 3981 5308 6635 7962 11943 13270 15924 19905 23886 26540 35829 39810 47772 59715 71658 79620 107487 119430 143316 179145 214974 238860 358290 429948 537435 716580 1074870 2149740