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193326080 = 210561619
BaseRepresentation
bin10111000010111…
…10110000000000
3111110202222112012
423201132300000
5343442413310
631103352052
74535146613
oct1341366000
9443688465
10193326080
119a144822
12548b2628
133108b63c
141b96617a
1511e8bc05
hexb85ec00

193326080 has 88 divisors (see below), whose sum is σ = 472120080. Its totient is φ = 75939840.

The previous prime is 193326071. The next prime is 193326127. The reversal of 193326080 is 80623391.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312011 + ... + 312629.

Almost surely, 2193326080 is an apocalyptic number.

193326080 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 193326080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236060040).

193326080 is an abundant number, since it is smaller than the sum of its proper divisors (278794000).

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

193326080 is an equidigital number, since it uses as much as digits as its factorization.

193326080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 193326080 is about 13904.1749125937. The cubic root of 193326080 is about 578.2249337059.

The spelling of 193326080 in words is "one hundred ninety-three million, three hundred twenty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 64 80 122 128 160 244 256 305 320 488 512 610 619 640 976 1024 1220 1238 1280 1952 2440 2476 2560 3095 3904 4880 4952 5120 6190 7808 9760 9904 12380 15616 19520 19808 24760 31232 37759 39040 39616 49520 62464 75518 78080 79232 99040 151036 156160 158464 188795 198080 302072 312320 316928 377590 396160 604144 633856 755180 792320 1208288 1510360 1584640 2416576 3020720 3169280 4833152 6041440 9666304 12082880 19332608 24165760 38665216 48331520 96663040 193326080