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2149120 = 2852373
BaseRepresentation
bin1000001100101100000000
311001012001001
420030230000
51022232440
6114021344
724160441
oct10145400
94035031
102149120
111238736
12877854
135a328c
143dd2c8
152c6b9a
hex20cb00

2149120 has 72 divisors (see below), whose sum is σ = 5445216. Its totient is φ = 811008.

The previous prime is 2149117. The next prime is 2149127. The reversal of 2149120 is 219412.

It is not an unprimeable number, because it can be changed into a prime (2149127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29404 + ... + 29476.

It is an arithmetic number, because the mean of its divisors is an integer number (75628).

22149120 is an apocalyptic number.

2149120 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 2149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722608).

2149120 is an abundant number, since it is smaller than the sum of its proper divisors (3296096).

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

2149120 is an equidigital number, since it uses as much as digits as its factorization.

2149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 2149120 is about 1465.9877216403. The cubic root of 2149120 is about 129.0486766204.

It can be divided in two parts, 21 and 49120, that added together give a triangular number (49141 = T313).

The spelling of 2149120 in words is "two million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 73 80 92 115 128 146 160 184 230 256 292 320 365 368 460 584 640 730 736 920 1168 1280 1460 1472 1679 1840 2336 2920 2944 3358 3680 4672 5840 5888 6716 7360 8395 9344 11680 13432 14720 16790 18688 23360 26864 29440 33580 46720 53728 67160 93440 107456 134320 214912 268640 429824 537280 1074560 2149120