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90603200 = 2652173331
BaseRepresentation
bin1010110011001…
…11111011000000
320022111010020002
411121213323000
5141143300300
612553535132
72150054162
oct531477300
9208433202
1090603200
1147163586
12264144a8
1315a0367c
14c066932
157e4a5d5
hex5667ec0

90603200 has 84 divisors (see below), whose sum is σ = 236125512. Its totient is φ = 34099200.

The previous prime is 90603199. The next prime is 90603203. The reversal of 90603200 is 230609.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (90603203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25535 + ... + 28865.

It is an arithmetic number, because the mean of its divisors is an integer number (2811018).

Almost surely, 290603200 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 90603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118062756).

90603200 is an abundant number, since it is smaller than the sum of its proper divisors (145522312).

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

90603200 is a wasteful number, since it uses less digits than its factorization.

90603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 90603200 is about 9518.5713213696. The cubic root of 90603200 is about 449.1394252549.

Adding to 90603200 its reverse (230609), we get a palindrome (90833809).

The spelling of 90603200 in words is "ninety million, six hundred three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 136 160 170 200 272 320 340 400 425 544 680 800 850 1088 1360 1600 1700 2720 3331 3400 5440 6662 6800 13324 13600 16655 26648 27200 33310 53296 56627 66620 83275 106592 113254 133240 166550 213184 226508 266480 283135 333100 453016 532960 566270 666200 906032 1065920 1132540 1332400 1415675 1812064 2265080 2664800 2831350 3624128 4530160 5329600 5662700 9060320 11325400 18120640 22650800 45301600 90603200