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90948240 = 24325126317
BaseRepresentation
bin1010110101111…
…00001010010000
320100010122112100
411122330022100
5141240320430
613005200400
72153022135
oct532741220
9210118470
1090948240
1147379839
1226560100
1315ac4736
14c11658c
157eb7960
hex56bc290

90948240 has 60 divisors (see below), whose sum is σ = 305436924. Its totient is φ = 24252672.

The previous prime is 90948229. The next prime is 90948271. The reversal of 90948240 is 4284909.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 72182016 = 4332^2 + 8496^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 90948195 and 90948204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62439 + ... + 63878.

Almost surely, 290948240 is an apocalyptic number.

90948240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90948240 is an abundant number, since it is smaller than the sum of its proper divisors (214488684).

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

90948240 is a wasteful number, since it uses less digits than its factorization.

90948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126336 (or 126327 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90948240 is about 9536.6786671252. The cubic root of 90948240 is about 449.7088487019.

The spelling of 90948240 in words is "ninety million, nine hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 126317 252634 378951 505268 631585 757902 1010536 1136853 1263170 1515804 1894755 2021072 2273706 2526340 3031608 3789510 4547412 5052680 5684265 6063216 7579020 9094824 10105360 11368530 15158040 18189648 22737060 30316080 45474120 90948240