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90027520 = 2951123139
BaseRepresentation
bin1010101110110…
…11011000000000
320021101212112121
411113123120000
5141021340040
612533334024
72142135622
oct527333000
9207355477
1090027520
1146900010
1226197314
131586162b
14bd56c12
157d84c4a
hex55db600

90027520 has 160 divisors (see below), whose sum is σ = 247484160. Its totient is φ = 31088640.

The previous prime is 90027517. The next prime is 90027551. The reversal of 90027520 is 2572009.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 647611 + ... + 647749.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 290027520 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 90027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123742080).

90027520 is an abundant number, since it is smaller than the sum of its proper divisors (157456640).

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

90027520 is a wasteful number, since it uses less digits than its factorization.

90027520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 90027520 is about 9488.2833009981. The cubic root of 90027520 is about 448.1861471336.

Adding to 90027520 its reverse (2572009), we get a palindrome (92599529).

The spelling of 90027520 in words is "ninety million, twenty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 64 80 88 92 110 115 128 139 160 176 184 220 230 253 256 278 320 352 368 440 460 506 512 556 640 695 704 736 880 920 1012 1112 1265 1280 1390 1408 1472 1529 1760 1840 2024 2224 2530 2560 2780 2816 2944 3058 3197 3520 3680 4048 4448 5060 5560 5632 5888 6116 6394 7040 7360 7645 8096 8896 10120 11120 11776 12232 12788 14080 14720 15290 15985 16192 17792 20240 22240 24464 25576 28160 29440 30580 31970 32384 35167 35584 40480 44480 48928 51152 58880 61160 63940 64768 70334 71168 80960 88960 97856 102304 122320 127880 129536 140668 161920 175835 177920 195712 204608 244640 255760 281336 323840 351670 355840 391424 409216 489280 511520 562672 647680 703340 782848 818432 978560 1023040 1125344 1406680 1636864 1957120 2046080 2250688 2813360 3914240 4092160 4501376 5626720 8184320 9002752 11253440 18005504 22506880 45013760 90027520