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2149488 = 2432112359
BaseRepresentation
bin1000001100110001110000
311001012112200
420030301300
51022240423
6114023200
724161505
oct10146160
94035480
102149488
111238a40
12877b00
135a34b3
143dd4ac
152c6d43
hex20cc70

2149488 has 120 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 612480.

The previous prime is 2149471. The next prime is 2149493. The reversal of 2149488 is 8849412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36403 + ... + 36461.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

22149488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481920).

2149488 is an abundant number, since it is smaller than the sum of its proper divisors (4814352).

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

2149488 is a wasteful number, since it uses less digits than its factorization.

2149488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 98 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2149488 is about 1466.1132289151. The cubic root of 2149488 is about 129.0560419921.

The spelling of 2149488 in words is "two million, one hundred forty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 59 66 69 72 88 92 99 118 132 138 144 176 177 184 198 207 236 253 264 276 354 368 396 414 472 506 528 531 552 649 708 759 792 828 944 1012 1062 1104 1298 1357 1416 1518 1584 1656 1947 2024 2124 2277 2596 2714 2832 3036 3312 3894 4048 4071 4248 4554 5192 5428 5841 6072 7788 8142 8496 9108 10384 10856 11682 12144 12213 14927 15576 16284 18216 21712 23364 24426 29854 31152 32568 36432 44781 46728 48852 59708 65136 89562 93456 97704 119416 134343 179124 195408 238832 268686 358248 537372 716496 1074744 2149488