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90271530 = 23351771277
BaseRepresentation
bin1010110000101…
…10111100101010
320021212021021000
411120112330222
5141102142110
612542455430
72144203206
oct530267452
9207767230
1090271530
1146a57378
1226294576
131591870b
14bdbbb06
157dd21c0
hex5616f2a

90271530 has 128 divisors (see below), whose sum is σ = 259407360. Its totient is φ = 22256640.

The previous prime is 90271529. The next prime is 90271541. The reversal of 90271530 is 3517209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 90271494 and 90271503.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325752 + ... + 326028.

It is an arithmetic number, because the mean of its divisors is an integer number (2026620).

Almost surely, 290271530 is an apocalyptic number.

90271530 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90271530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129703680).

90271530 is an abundant number, since it is smaller than the sum of its proper divisors (169135830).

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

90271530 is a wasteful number, since it uses less digits than its factorization.

90271530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90271530 is about 9501.1330903214. The cubic root of 90271530 is about 448.5907021174.

Adding to 90271530 its reverse (3517209), we get a palindrome (93788739).

The spelling of 90271530 in words is "ninety million, two hundred seventy-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 71 85 90 102 135 142 153 170 213 255 270 277 306 355 426 459 510 554 639 710 765 831 918 1065 1207 1278 1385 1530 1662 1917 2130 2295 2414 2493 2770 3195 3621 3834 4155 4590 4709 4986 6035 6390 7242 7479 8310 9418 9585 10863 12070 12465 14127 14958 18105 19170 19667 21726 23545 24930 28254 32589 36210 37395 39334 42381 47090 54315 59001 65178 70635 74790 84762 98335 108630 118002 127143 141270 162945 177003 196670 211905 254286 295005 325890 334339 354006 423810 531009 590010 635715 668678 885015 1003017 1062018 1271430 1671695 1770030 2006034 2655045 3009051 3343390 5015085 5310090 6018102 9027153 10030170 15045255 18054306 30090510 45135765 90271530