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199672980 = 223513281911
BaseRepresentation
bin10111110011011…
…00010010010100
3111220201102211120
423321230102110
5402104013410
631451403540
74643122653
oct1371542224
9456642746
10199672980
11a278a2a1
1256a535b0
13324a14c0
141c73919a
15127e2570
hexbe6c494

199672980 has 96 divisors (see below), whose sum is σ = 604896768. Its totient is φ = 48921600.

The previous prime is 199672969. The next prime is 199672981. The reversal of 199672980 is 89276991.

It is a happy number.

199672980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199672981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218725 + ... + 219635.

It is an arithmetic number, because the mean of its divisors is an integer number (6301008).

Almost surely, 2199672980 is an apocalyptic number.

199672980 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 199672980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302448384).

199672980 is an abundant number, since it is smaller than the sum of its proper divisors (405223788).

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

199672980 is a wasteful number, since it uses less digits than its factorization.

199672980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 199672980 is about 14130.5689906670. The cubic root of 199672980 is about 584.4846363352.

The spelling of 199672980 in words is "one hundred ninety-nine million, six hundred seventy-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 281 390 562 780 843 911 1124 1405 1686 1822 2733 2810 3372 3644 3653 4215 4555 5466 5620 7306 8430 9110 10932 10959 11843 13665 14612 16860 18220 18265 21918 23686 27330 35529 36530 43836 47372 54660 54795 59215 71058 73060 109590 118430 142116 177645 219180 236860 255991 355290 511982 710580 767973 1023964 1279955 1535946 2559910 3071892 3327883 3839865 5119820 6655766 7679730 9983649 13311532 15359460 16639415 19967298 33278830 39934596 49918245 66557660 99836490 199672980