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20193280 = 21351729
BaseRepresentation
bin100110100001…
…0000000000000
31101222220222021
41031002000000
520132141110
62000451224
7333432352
oct115020000
941886867
1020193280
1110442568
126919b14
1342503b3
1429790d2
151b8d2da
hex1342000

20193280 has 112 divisors (see below), whose sum is σ = 53080920. Its totient is φ = 7340032.

The previous prime is 20193247. The next prime is 20193293. The reversal of 20193280 is 8239102.

It can be written as a sum of positive squares in 4 ways, for example, as 18386944 + 1806336 = 4288^2 + 1344^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696306 + ... + 696334.

Almost surely, 220193280 is an apocalyptic number.

20193280 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 20193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26540460).

20193280 is an abundant number, since it is smaller than the sum of its proper divisors (32887640).

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

20193280 is an equidigital number, since it uses as much as digits as its factorization.

20193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 20193280 is about 4493.6933584747. The cubic root of 20193280 is about 272.3133643324.

The spelling of 20193280 in words is "twenty million, one hundred ninety-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 80 85 116 128 136 145 160 170 232 256 272 290 320 340 464 493 512 544 580 640 680 928 986 1024 1088 1160 1280 1360 1856 1972 2048 2176 2320 2465 2560 2720 3712 3944 4096 4352 4640 4930 5120 5440 7424 7888 8192 8704 9280 9860 10240 10880 14848 15776 17408 18560 19720 20480 21760 29696 31552 34816 37120 39440 40960 43520 59392 63104 69632 74240 78880 87040 118784 126208 139264 148480 157760 174080 237568 252416 296960 315520 348160 504832 593920 631040 696320 1009664 1187840 1262080 2019328 2524160 4038656 5048320 10096640 20193280