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90960192 = 263352639
BaseRepresentation
bin1010110101111…
…11000101000000
320100011020221000
411122333011000
5141241211232
613005332000
72153102031
oct532770500
9210136830
1090960192
1147387814
1226567000
1315ac9ccb
14c11aa88
157ebb27c
hex56bf140

90960192 has 56 divisors (see below), whose sum is σ = 267411200. Its totient is φ = 30319488.

The previous prime is 90960187. The next prime is 90960197. The reversal of 90960192 is 29106909.

It is an interprime number because it is at equal distance from previous prime (90960187) and next prime (90960197).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90960197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24592 + ... + 28047.

It is an arithmetic number, because the mean of its divisors is an integer number (4775200).

Almost surely, 290960192 is an apocalyptic number.

It is an amenable number.

90960192 is an abundant number, since it is smaller than the sum of its proper divisors (176451008).

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

90960192 is a wasteful number, since it uses less digits than its factorization.

90960192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52660 (or 52644 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 90960192 is about 9537.3052797947. The cubic root of 90960192 is about 449.7285473962.

The spelling of 90960192 in words is "ninety million, nine hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 52639 105278 157917 210556 315834 421112 473751 631668 842224 947502 1263336 1421253 1684448 1895004 2526672 2842506 3368896 3790008 5053344 5685012 7580016 10106688 11370024 15160032 22740048 30320064 45480096 90960192