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90010305 = 33572111237
BaseRepresentation
bin1010101110101…
…11001011000001
320021100222221000
411113113023001
5141020312210
612533122213
72142034500
oct527271301
9207328830
1090010305
1146899090
1226189369
1315856848
14bd50837
157d7eac0
hex55d72c1

90010305 has 96 divisors (see below), whose sum is σ = 203230080. Its totient is φ = 37376640.

The previous prime is 90010303. The next prime is 90010313. The reversal of 90010305 is 50301009.

It is not a de Polignac number, because 90010305 - 21 = 90010303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90010301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72147 + ... + 73383.

It is an arithmetic number, because the mean of its divisors is an integer number (2116980).

Almost surely, 290010305 is an apocalyptic number.

It is an amenable number.

90010305 is an abundant number, since it is smaller than the sum of its proper divisors (113219775).

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

90010305 is a wasteful number, since it uses less digits than its factorization.

90010305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 90010305 is about 9487.3760861473. The cubic root of 90010305 is about 448.1575780311.

The spelling of 90010305 in words is "ninety million, ten thousand, three hundred five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 49 55 63 77 99 105 135 147 165 189 231 245 297 315 385 441 495 539 693 735 945 1155 1237 1323 1485 1617 2079 2205 2695 3465 3711 4851 6185 6615 8085 8659 10395 11133 13607 14553 18555 24255 25977 33399 40821 43295 55665 60613 68035 72765 77931 95249 122463 129885 166995 181839 204105 233793 285747 303065 367389 389655 476245 545517 612315 666743 857241 909195 1168965 1428735 1636551 1836945 2000229 2571723 2727585 3333715 4286205 6000687 8182755 10001145 12858615 18002061 30003435 90010305