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90950000 = 245517107
BaseRepresentation
bin1010110101111…
…00100101110000
320100010201221112
411122330211300
5141240400000
613005212452
72153030231
oct532744560
9210121845
1090950000
1147380099
1226561128
1315ac548b
14c117088
157eb8235
hex56bc970

90950000 has 120 divisors (see below), whose sum is σ = 235391184. Its totient is φ = 33920000.

The previous prime is 90949997. The next prime is 90950009. The reversal of 90950000 is 5909.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90950009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849947 + ... + 850053.

Almost surely, 290950000 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 90950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117695592).

90950000 is an abundant number, since it is smaller than the sum of its proper divisors (144441184).

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

90950000 is a wasteful number, since it uses less digits than its factorization.

90950000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 23.

The square root of 90950000 is about 9536.7709419908. The cubic root of 90950000 is about 449.7117495551.

Adding to 90950000 its reverse (5909), we get a palindrome (90955909).

The spelling of 90950000 in words is "ninety million, nine hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 107 125 136 170 200 214 250 272 340 400 425 428 500 535 625 680 850 856 1000 1070 1250 1360 1700 1712 1819 2000 2125 2140 2500 2675 3125 3400 3638 4250 4280 5000 5350 6250 6800 7276 8500 8560 9095 10000 10625 10700 12500 13375 14552 17000 18190 21250 21400 25000 26750 29104 34000 36380 42500 42800 45475 50000 53125 53500 66875 72760 85000 90950 106250 107000 133750 145520 170000 181900 212500 214000 227375 267500 334375 363800 425000 454750 535000 668750 727600 850000 909500 1070000 1136875 1337500 1819000 2273750 2675000 3638000 4547500 5350000 5684375 9095000 11368750 18190000 22737500 45475000 90950000