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201313296 = 24332320261
BaseRepresentation
bin10111111111111…
…00110000010000
3112000210202221000
423333330300100
5403014011141
631550502000
74663064142
oct1377746020
9460722830
10201313296
11a36aa728
1257504900
1332926cc2
141ca44c92
1512a185b6
hexbffcc10

201313296 has 80 divisors (see below), whose sum is σ = 602997120. Its totient is φ = 64183680.

The previous prime is 201313279. The next prime is 201313309. The reversal of 201313296 is 692313102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195 + ... + 20066.

It is an arithmetic number, because the mean of its divisors is an integer number (7537464).

Almost surely, 2201313296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201313296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301498560).

201313296 is an abundant number, since it is smaller than the sum of its proper divisors (401683824).

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

201313296 is a wasteful number, since it uses less digits than its factorization.

201313296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20301 (or 20289 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 201313296 is about 14188.4916745932. The cubic root of 201313296 is about 586.0807896472.

Adding to 201313296 its reverse (692313102), we get a palindrome (893626398).

It can be divided in two parts, 20 and 1313296, that added together give a square (1313316 = 11462).

The spelling of 201313296 in words is "two hundred one million, three hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 20261 40522 60783 81044 121566 162088 182349 243132 324176 364698 466003 486264 547047 729396 932006 972528 1094094 1398009 1458792 1864012 2188188 2796018 2917584 3728024 4194027 4376376 5592036 7456048 8388054 8752752 11184072 12582081 16776108 22368144 25164162 33552216 50328324 67104432 100656648 201313296