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201136080 = 24353972111
BaseRepresentation
bin10111111110100…
…01011111010000
3112000110202211110
423333101133100
5402442323310
631543013320
74661425365
oct1377213720
9460422743
10201136080
11a3599572
125743a240
1332894442
141c9da46c
15129d0d20
hexbfd17d0

201136080 has 80 divisors (see below), whose sum is σ = 625388544. Its totient is φ = 53475840.

The previous prime is 201136073. The next prime is 201136151. The reversal of 201136080 is 80631102.

It is a tau number, because it is divible by the number of its divisors (80).

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, 94225 + ... + 96335.

Almost surely, 2201136080 is an apocalyptic number.

201136080 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 201136080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312694272).

201136080 is an abundant number, since it is smaller than the sum of its proper divisors (424252464).

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

201136080 is a wasteful number, since it uses less digits than its factorization.

201136080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 201136080 is about 14182.2452383253. The cubic root of 201136080 is about 585.9087636111.

Adding to 201136080 its reverse (80631102), we get a palindrome (281767182).

The spelling of 201136080 in words is "two hundred one million, one hundred thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 397 794 1191 1588 1985 2111 2382 3176 3970 4222 4764 5955 6333 6352 7940 8444 9528 10555 11910 12666 15880 16888 19056 21110 23820 25332 31665 31760 33776 42220 47640 50664 63330 84440 95280 101328 126660 168880 253320 506640 838067 1676134 2514201 3352268 4190335 5028402 6704536 8380670 10056804 12571005 13409072 16761340 20113608 25142010 33522680 40227216 50284020 67045360 100568040 201136080