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90261040 = 2451398117
BaseRepresentation
bin1010110000101…
…00011000110000
320021211201212111
411120110120300
5141101323130
612542335104
72144130502
oct530243060
9207751774
1090261040
1146a4a501
122628a494
13159139cc
14bdb7d72
157dce02a
hex5614630

90261040 has 40 divisors (see below), whose sum is σ = 211392720. Its totient is φ = 35840256.

The previous prime is 90261013. The next prime is 90261053. The reversal of 90261040 is 4016209.

90261040 = T121 + T122 + ... + T815.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7062 + ... + 15178.

It is an arithmetic number, because the mean of its divisors is an integer number (5284818).

Almost surely, 290261040 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 90261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105696360).

90261040 is an abundant number, since it is smaller than the sum of its proper divisors (121131680).

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

90261040 is a wasteful number, since it uses less digits than its factorization.

90261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8269 (or 8263 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 90261040 is about 9500.5810348631. The cubic root of 90261040 is about 448.5733252887.

Adding to 90261040 its reverse (4016209), we get a palindrome (94277249).

The spelling of 90261040 in words is "ninety million, two hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1112 1390 2224 2780 5560 8117 11120 16234 32468 40585 64936 81170 129872 162340 324680 649360 1128263 2256526 4513052 5641315 9026104 11282630 18052208 22565260 45130520 90261040