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90754840 = 235112171103
BaseRepresentation
bin1010110100011…
…00111100011000
320022202211020101
411122030330120
5141213123330
613001105144
72151255241
oct532147430
9208684211
1090754840
1147257500
12264881b4
1315a576b7
14c0a5cc8
157e7a4ca
hex568cf18

90754840 has 96 divisors (see below), whose sum is σ = 237867840. Its totient is φ = 31032320.

The previous prime is 90754831. The next prime is 90754843. The reversal of 90754840 is 4845709.

It is a self number, because there is not a number n which added to its sum of digits gives 90754840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90754843) 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 23 ways as a sum of consecutive naturals, for example, 81729 + ... + 82831.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 290754840 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 90754840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118933920).

90754840 is an abundant number, since it is smaller than the sum of its proper divisors (147113000).

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

90754840 is a wasteful number, since it uses less digits than its factorization.

90754840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 90754840 is about 9526.5334723602. The cubic root of 90754840 is about 449.3898562227.

The spelling of 90754840 in words is "ninety million, seven hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 121 136 170 187 220 242 340 374 440 484 605 680 748 935 968 1103 1210 1496 1870 2057 2206 2420 3740 4114 4412 4840 5515 7480 8228 8824 10285 11030 12133 16456 18751 20570 22060 24266 37502 41140 44120 48532 60665 75004 82280 93755 97064 121330 133463 150008 187510 206261 242660 266926 375020 412522 485320 533852 667315 750040 825044 1031305 1067704 1334630 1650088 2062610 2268871 2669260 4125220 4537742 5338520 8250440 9075484 11344355 18150968 22688710 45377420 90754840