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2159424 = 263223163
BaseRepresentation
bin1000001111001101000000
311001201011200
420033031000
51023100144
6114141200
724232461
oct10171500
94051150
102159424
111245453
12881800
135a7b87
14402d68
152c9c69
hex20f340

2159424 has 84 divisors (see below), whose sum is σ = 6498336. Its totient is φ = 684288.

The previous prime is 2159419. The next prime is 2159449. The reversal of 2159424 is 4249512.

It is a super-2 number, since 2×21594242 = 9326224023552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13167 + ... + 13329.

22159424 is an apocalyptic number.

2159424 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 2159424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249168).

2159424 is an abundant number, since it is smaller than the sum of its proper divisors (4338912).

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

2159424 is a wasteful number, since it uses less digits than its factorization.

2159424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2159424 is about 1469.4978734248. The cubic root of 2159424 is about 129.2545900621.

The spelling of 2159424 in words is "two million, one hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 138 144 163 184 192 207 276 288 326 368 414 489 552 576 652 736 828 978 1104 1304 1467 1472 1656 1956 2208 2608 2934 3312 3749 3912 4416 5216 5868 6624 7498 7824 10432 11247 11736 13248 14996 15648 22494 23472 29992 31296 33741 44988 46944 59984 67482 89976 93888 119968 134964 179952 239936 269928 359904 539856 719808 1079712 2159424