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201124704 = 25311283673
BaseRepresentation
bin10111111110011…
…10101101100000
3112000110012020010
423333032231200
5402441442304
631542444520
74661350254
oct1377165540
9460405203
10201124704
11a3590a70
1257433740
133288c201
141c9d6264
15129cc789
hexbfceb60

201124704 has 96 divisors (see below), whose sum is σ = 578841984. Its totient is φ = 60641280.

The previous prime is 201124691. The next prime is 201124787. The reversal of 201124704 is 407421102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2011247042 = 80902293118175232, which contains 22 as substring.

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, 298512 + ... + 299184.

It is an arithmetic number, because the mean of its divisors is an integer number (6029604).

Almost surely, 2201124704 is an apocalyptic number.

201124704 is a gapful number since it is divisible by the number (24) 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 201124704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289420992).

201124704 is an abundant number, since it is smaller than the sum of its proper divisors (377717280).

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

201124704 is a wasteful number, since it uses less digits than its factorization.

201124704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 201124704 is about 14181.8441678084. The cubic root of 201124704 is about 585.8977173189.

Adding to 201124704 its reverse (407421102), we get a palindrome (608545806).

The spelling of 201124704 in words is "two hundred one million, one hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 283 352 528 566 673 849 1056 1132 1346 1698 2019 2264 2692 3113 3396 4038 4528 5384 6226 6792 7403 8076 9056 9339 10768 12452 13584 14806 16152 18678 21536 22209 24904 27168 29612 32304 37356 44418 49808 59224 64608 74712 88836 99616 118448 149424 177672 190459 236896 298848 355344 380918 571377 710688 761836 1142754 1523672 2095049 2285508 3047344 4190098 4571016 6094688 6285147 8380196 9142032 12570294 16760392 18284064 25140588 33520784 50281176 67041568 100562352 201124704