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201697040 = 2454161493
BaseRepresentation
bin11000000010110…
…10011100010000
3112001112021022202
430001122130100
5403113301130
632003022332
74666253006
oct1401323420
9461467282
10201697040
11a3941a76
125766a9a8
1332a2c87c
141cb04a76
1512a92145
hexc05a710

201697040 has 40 divisors (see below), whose sum is σ = 480391128. Its totient is φ = 78709760.

The previous prime is 201697037. The next prime is 201697057. The reversal of 201697040 is 40796102.

It can be written as a sum of positive squares in 4 ways, for example, as 22886656 + 178810384 = 4784^2 + 13372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 201696994 and 201697012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27467 + ... + 34026.

Almost surely, 2201697040 is an apocalyptic number.

201697040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201697040 is an abundant number, since it is smaller than the sum of its proper divisors (278694088).

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

201697040 is a wasteful number, since it uses less digits than its factorization.

201697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61547 (or 61541 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 201697040 is about 14202.0083086865. The cubic root of 201697040 is about 586.4529495878.

The spelling of 201697040 in words is "two hundred one million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 61493 122986 245972 307465 491944 614930 983888 1229860 2459720 2521213 4919440 5042426 10084852 12606065 20169704 25212130 40339408 50424260 100848520 201697040