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2120033520 = 243351189227
BaseRepresentation
bin111111001011101…
…0010010011110000
312110202012212021000
41332113102103300
513320212033040
6550211402000
7103351662513
oct17627222360
95422185230
102120033520
11998781620
124b1bb3300
1327a2b3607
141617c2d7a
15c61c3130
hex7e5d24f0

2120033520 has 160 divisors (see below), whose sum is σ = 7966275840. Its totient is φ = 513941760.

The previous prime is 2120033519. The next prime is 2120033543. The reversal of 2120033520 is 253300212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2120033493 and 2120033502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20854 + ... + 68373.

It is an arithmetic number, because the mean of its divisors is an integer number (49789224).

Almost surely, 22120033520 is an apocalyptic number.

2120033520 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 2120033520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983137920).

2120033520 is an abundant number, since it is smaller than the sum of its proper divisors (5846242320).

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

2120033520 is a wasteful number, since it uses less digits than its factorization.

2120033520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89260 (or 89248 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2120033520 is about 46043.8217353860. The cubic root of 2120033520 is about 1284.6384282512.

Adding to 2120033520 its reverse (253300212), we get a palindrome (2373333732).

The spelling of 2120033520 in words is "two billion, one hundred twenty million, thirty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 89227 178454 267681 356908 446135 535362 713816 803043 892270 981497 1070724 1338405 1427632 1606086 1784540 1962994 2141448 2409129 2676810 2944491 3212172 3569080 3925988 4015215 4282896 4818258 4907485 5353620 5888982 6424344 7138160 7851976 8030430 8833473 9636516 9814970 10707240 11777964 12045645 12848688 14722455 15703952 16060860 17666946 19273032 19629940 21414480 23555928 24091290 26500419 29444910 32121720 35333892 38546064 39259880 44167365 47111856 48182580 53000838 58889820 64243440 70667784 78519760 88334730 96365160 106001676 117779640 132502095 141335568 176669460 192730320 212003352 235559280 265004190 353338920 424006704 530008380 706677840 1060016760 2120033520