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90441260 = 225721331229
BaseRepresentation
bin1010110010000…
…00011000101100
320022011220002022
411121000120230
5141123110020
612550245312
72145511100
oct531003054
9208156068
1090441260
1147062948
1226356838
1315977a50
14c023900
157e17625
hex564062c

90441260 has 144 divisors (see below), whose sum is σ = 246677760. Its totient is φ = 27578880.

The previous prime is 90441259. The next prime is 90441269. The reversal of 90441260 is 6214409.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (90441269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394826 + ... + 395054.

It is an arithmetic number, because the mean of its divisors is an integer number (1713040).

Almost surely, 290441260 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 90441260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123338880).

90441260 is an abundant number, since it is smaller than the sum of its proper divisors (156236500).

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

90441260 is a wasteful number, since it uses less digits than its factorization.

90441260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 90441260 is about 9510.0609882377. The cubic root of 90441260 is about 448.8716752740.

Adding to 90441260 its reverse (6214409), we get a palindrome (96655669).

The spelling of 90441260 in words is "ninety million, four hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 182 196 217 229 245 260 310 364 403 434 455 458 490 620 637 806 868 910 916 980 1085 1145 1274 1519 1603 1612 1820 2015 2170 2290 2548 2821 2977 3038 3185 3206 4030 4340 4580 5642 5954 6076 6370 6412 7099 7595 8015 8060 11221 11284 11908 12740 14105 14198 14885 15190 16030 19747 20839 22442 28210 28396 29770 30380 32060 35495 39494 41678 44884 49693 56105 56420 59540 70990 78988 83356 92287 98735 99386 104195 112210 141980 145873 184574 197470 198772 208390 224420 248465 291746 347851 369148 394940 416780 461435 496930 583492 646009 695702 729365 922870 993860 1292018 1391404 1458730 1739255 1845740 2584036 2917460 3230045 3478510 4522063 6460090 6957020 9044126 12920180 18088252 22610315 45220630 90441260