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90080235 = 33571929173
BaseRepresentation
bin1010101111010…
…00001111101011
320021111112212000
411113220033223
5141030031420
612534422043
72142445410
oct527501753
9207445760
1090080235
1146936683
1226201923
131587c61b
14bd6c107
157d95690
hex55e83eb

90080235 has 128 divisors (see below), whose sum is σ = 200448000. Its totient is φ = 37449216.

The previous prime is 90080189. The next prime is 90080251. The reversal of 90080235 is 53208009.

It is not a de Polignac number, because 90080235 - 26 = 90080171 is a prime.

It is a super-2 number, since 2×900802352 = 16228897475310450, which contains 22 as substring.

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 = 90080199 and 90080208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 520609 + ... + 520781.

It is an arithmetic number, because the mean of its divisors is an integer number (1566000).

Almost surely, 290080235 is an apocalyptic number.

90080235 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

90080235 is an abundant number, since it is smaller than the sum of its proper divisors (110367765).

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

90080235 is a wasteful number, since it uses less digits than its factorization.

90080235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 90080235 is about 9491.0607942421. The cubic root of 90080235 is about 448.2736075120.

The spelling of 90080235 in words is "ninety million, eighty thousand, two hundred thirty-five".

Divisors: 1 3 5 7 9 15 19 21 27 29 35 45 57 63 87 95 105 133 135 145 171 173 189 203 261 285 315 399 435 513 519 551 609 665 783 855 865 945 1015 1197 1211 1305 1557 1653 1827 1995 2565 2595 2755 3045 3287 3591 3633 3857 3915 4671 4959 5017 5481 5985 6055 7785 8265 9135 9861 10899 11571 14877 15051 16435 17955 18165 19285 23009 23355 24795 25085 27405 29583 32697 34713 35119 45153 49305 54495 57855 69027 74385 75255 88749 95323 104139 105357 115045 135459 147915 163485 173565 175595 207081 225765 285969 316071 345135 443745 476615 520695 526785 621243 667261 677295 857907 948213 1035405 1429845 1580355 2001783 2573721 3106215 3336305 4289535 4741065 6005349 10008915 12868605 18016047 30026745 90080235