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16133120 = 210523137
BaseRepresentation
bin111101100010…
…110000000000
31010100122110222
4331202300000
513112224440
61333442212
7254062223
oct75426000
933318428
1016133120
11911a063
1254a0368
13345b333
1421dd5ba
15163a2b5
hexf62c00

16133120 has 88 divisors (see below), whose sum is σ = 40677984. Its totient is φ = 6127616.

The previous prime is 16133111. The next prime is 16133149. The reversal of 16133120 is 2133161.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117692 + ... + 117828.

Almost surely, 216133120 is an apocalyptic number.

16133120 is a gapful number since it is divisible by the number (10) 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 16133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20338992).

16133120 is an abundant number, since it is smaller than the sum of its proper divisors (24544864).

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

16133120 is a wasteful number, since it uses less digits than its factorization.

16133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 16133120 is about 4016.6055320382. The cubic root of 16133120 is about 252.6811169912.

Adding to 16133120 its reverse (2133161), we get a palindrome (18266281).

The spelling of 16133120 in words is "sixteen million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 137 160 184 230 256 274 320 368 460 512 548 640 685 736 920 1024 1096 1280 1370 1472 1840 2192 2560 2740 2944 3151 3680 4384 5120 5480 5888 6302 7360 8768 10960 11776 12604 14720 15755 17536 21920 23552 25208 29440 31510 35072 43840 50416 58880 63020 70144 87680 100832 117760 126040 140288 175360 201664 252080 350720 403328 504160 701440 806656 1008320 1613312 2016640 3226624 4033280 8066560 16133120