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201692980 = 225192347491
BaseRepresentation
bin11000000010110…
…01011100110100
3112001112001202101
430001121130310
5403113133410
632002551444
74666235116
oct1401313464
9461461671
10201692980
11a3939a15
1257668584
1332a2aa78
141cb033b6
1512a90d3a
hexc059734

201692980 has 96 divisors (see below), whose sum is σ = 476098560. Its totient is φ = 71406720.

The previous prime is 201692969. The next prime is 201692983. The reversal of 201692980 is 89296102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201692983) 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, 410535 + ... + 411025.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2201692980 is an apocalyptic number.

201692980 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 201692980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238049280).

201692980 is an abundant number, since it is smaller than the sum of its proper divisors (274405580).

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

201692980 is a wasteful number, since it uses less digits than its factorization.

201692980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 201692980 is about 14201.8653704364. The cubic root of 201692980 is about 586.4490146185.

The spelling of 201692980 in words is "two hundred one million, six hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 23 38 46 47 76 92 94 95 115 188 190 230 235 380 437 460 470 491 874 893 940 982 1081 1748 1786 1964 2162 2185 2455 3572 4324 4370 4465 4910 5405 8740 8930 9329 9820 10810 11293 17860 18658 20539 21620 22586 23077 37316 41078 45172 46154 46645 56465 82156 92308 93290 102695 112930 115385 186580 205390 214567 225860 230770 410780 429134 438463 461540 530771 858268 876926 1061542 1072835 1753852 2123084 2145670 2192315 2653855 4291340 4384630 5307710 8769260 10084649 10615420 20169298 40338596 50423245 100846490 201692980