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90054860 = 22572941541
BaseRepresentation
bin1010101111000…
…10000011001100
320021110021001012
411113202003030
5141023223420
612534104352
72142311420
oct527420314
9207407035
1090054860
1146919605
12261ab0b8
1315870bcc
14bd62b80
157d8cdc5
hex55e20cc

90054860 has 96 divisors (see below), whose sum is σ = 229461120. Its totient is φ = 29030400.

The previous prime is 90054859. The next prime is 90054869. The reversal of 90054860 is 6845009.

90054860 = 4112 + 4122 + ... + 6972.

It is not an unprimeable number, because it can be changed into a prime (90054869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166190 + ... + 166730.

It is an arithmetic number, because the mean of its divisors is an integer number (2390220).

Almost surely, 290054860 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 90054860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114730560).

90054860 is an abundant number, since it is smaller than the sum of its proper divisors (139406260).

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

90054860 is a wasteful number, since it uses less digits than its factorization.

90054860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 90054860 is about 9489.7239158998. The cubic root of 90054860 is about 448.2315116662.

Adding to 90054860 its reverse (6845009), we get a palindrome (96899869).

The spelling of 90054860 in words is "ninety million, fifty-four thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 58 70 82 116 140 145 164 203 205 287 290 406 410 541 574 580 812 820 1015 1082 1148 1189 1435 2030 2164 2378 2705 2870 3787 4060 4756 5410 5740 5945 7574 8323 10820 11890 15148 15689 16646 18935 22181 23780 31378 33292 37870 41615 44362 62756 75740 78445 83230 88724 109823 110905 155267 156890 166460 219646 221810 310534 313780 439292 443620 549115 621068 643249 776335 1098230 1286498 1552670 2196460 2572996 3105340 3216245 4502743 6432490 9005486 12864980 18010972 22513715 45027430 90054860