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188993980 = 22572316221
BaseRepresentation
bin10110100001111…
…01000110111100
3111011121220000001
423100331012330
5341340301410
630430444044
74453264600
oct1320750674
9434556001
10188993980
1197755a7a
1253363624
1330202876
141b159500
15118d333a
hexb43d1bc

188993980 has 72 divisors (see below), whose sum is σ = 476654976. Its totient is φ = 62697600.

The previous prime is 188993971. The next prime is 188993983. The reversal of 188993980 is 89399881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188993983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27270 + ... + 33490.

It is an arithmetic number, because the mean of its divisors is an integer number (6620208).

Almost surely, 2188993980 is an apocalyptic number.

188993980 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 188993980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238327488).

188993980 is an abundant number, since it is smaller than the sum of its proper divisors (287660996).

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

188993980 is a wasteful number, since it uses less digits than its factorization.

188993980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 55.

The square root of 188993980 is about 13747.5081378408. The cubic root of 188993980 is about 573.8732617270.

It can be divided in two parts, 18 and 8993980, that added together give a palindrome (8993998).

The spelling of 188993980 in words is "one hundred eighty-eight million, nine hundred ninety-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 3038 4340 6076 6221 7595 12442 15190 24884 30380 31105 43547 62210 87094 124420 174188 192851 217735 304829 385702 435470 609658 771404 870940 964255 1219316 1349957 1524145 1928510 2699914 3048290 3857020 5399828 6096580 6749785 9449699 13499570 18899398 26999140 37798796 47248495 94496990 188993980