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90201012 = 22311683341
BaseRepresentation
bin1010110000001…
…01101110110100
320021201200112020
411120011232310
5141042413022
612541153140
72143460466
oct530055664
9207650466
1090201012
1146a093a0
122625b7b0
13158c25a5
14bda0136
157dbb35c
hex5605bb4

90201012 has 24 divisors (see below), whose sum is σ = 229602912. Its totient is φ = 27333600.

The previous prime is 90201011. The next prime is 90201017. The reversal of 90201012 is 21010209.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 90200982 and 90201000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341539 + ... + 341802.

It is an arithmetic number, because the mean of its divisors is an integer number (9566788).

Almost surely, 290201012 is an apocalyptic number.

It is an amenable number.

90201012 is an abundant number, since it is smaller than the sum of its proper divisors (139401900).

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

90201012 is a wasteful number, since it uses less digits than its factorization.

90201012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683359 (or 683357 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 90201012 is about 9497.4213342359. The cubic root of 90201012 is about 448.4738621795.

It can be divided in two parts, 90 and 201012, that added together give a palindrome (201102).

The spelling of 90201012 in words is "ninety million, two hundred one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 683341 1366682 2050023 2733364 4100046 7516751 8200092 15033502 22550253 30067004 45100506 90201012