Search a number
-
+
90652107 = 3721324189
BaseRepresentation
bin1010110011100…
…11110111001011
320022120121022110
411121303313023
5141201331412
612554553403
72150346600
oct531636713
9208517273
1090652107
11471972a7
1226438863
1315a1ca00
14c07a6a7
157e59d3c
hex5673dcb

90652107 has 72 divisors (see below), whose sum is σ = 157716720. Its totient is φ = 46126080.

The previous prime is 90652099. The next prime is 90652123. The reversal of 90652107 is 70125609.

It is not a de Polignac number, because 90652107 - 23 = 90652099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90652147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1018519 + ... + 1018607.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 290652107 is an apocalyptic number.

90652107 is a deficient number, since it is larger than the sum of its proper divisors (67064613).

90652107 is a wasteful number, since it uses less digits than its factorization.

90652107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 90652107 is about 9521.1400052725. The cubic root of 90652107 is about 449.2202248686.

The spelling of 90652107 in words is "ninety million, six hundred fifty-two thousand, one hundred seven".

Divisors: 1 3 7 13 21 39 41 49 89 91 123 147 169 267 273 287 507 533 623 637 861 1157 1183 1599 1869 1911 2009 3471 3549 3649 3731 4361 6027 6929 8099 8281 10947 11193 13083 15041 20787 24297 24843 25543 26117 45123 47437 48503 56693 76629 78351 105287 142311 145509 170079 178801 315861 332059 339521 536403 616681 737009 996177 1018563 1850043 2211027 2324413 4316767 6973239 12950301 30217369 90652107