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201262040 = 23571136361
BaseRepresentation
bin10111111111100…
…00001111011000
3112000201011121122
423333300033120
5403010341130
631545424412
74662461540
oct1377601730
9460634548
10201262040
11a3675171
125749b108
1332909885
141ca30320
1512a082e5
hexbff03d8

201262040 has 64 divisors (see below), whose sum is σ = 522192960. Its totient is φ = 68382720.

The previous prime is 201261979. The next prime is 201262063. The reversal of 201262040 is 40262102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28460 + ... + 34820.

It is an arithmetic number, because the mean of its divisors is an integer number (8159265).

Almost surely, 2201262040 is an apocalyptic number.

201262040 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 201262040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261096480).

201262040 is an abundant number, since it is smaller than the sum of its proper divisors (320930920).

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

201262040 is a wasteful number, since it uses less digits than its factorization.

201262040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6488 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 201262040 is about 14186.6853070053. The cubic root of 201262040 is about 586.0310451157.

The spelling of 201262040 in words is "two hundred one million, two hundred sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1582 2260 3164 3955 4520 6328 6361 7910 12722 15820 25444 31640 31805 44527 50888 63610 89054 127220 178108 222635 254440 356216 445270 718793 890540 1437586 1781080 2875172 3593965 5031551 5750344 7187930 10063102 14375860 20126204 25157755 28751720 40252408 50315510 100631020 201262040