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90107325 = 32527211743
BaseRepresentation
bin1010101111011…
…10110110111101
320021112221000100
411113232312331
5141031413300
612535151313
72142620400
oct527566675
9207487010
1090107325
1146954a70
1226215539
131588ba59
14bd77d37
157d9d700
hex55eedbd

90107325 has 108 divisors (see below), whose sum is σ = 205085088. Its totient is φ = 37396800.

The previous prime is 90107323. The next prime is 90107333. The reversal of 90107325 is 52370109.

It is not a de Polignac number, because 90107325 - 21 = 90107323 is a prime.

It is a super-3 number, since 3×901073253 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90107323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 120904 + ... + 121646.

It is an arithmetic number, because the mean of its divisors is an integer number (1898936).

Almost surely, 290107325 is an apocalyptic number.

It is an amenable number.

90107325 is an abundant number, since it is smaller than the sum of its proper divisors (114977763).

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

90107325 is a wasteful number, since it uses less digits than its factorization.

90107325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 90107325 is about 9492.4878193232. The cubic root of 90107325 is about 448.3185397323.

The spelling of 90107325 in words is "ninety million, one hundred seven thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 11 15 21 25 33 35 45 49 55 63 75 77 99 105 147 165 175 225 231 245 275 315 385 441 495 525 539 693 735 743 825 1155 1225 1575 1617 1925 2205 2229 2475 2695 3465 3675 3715 4851 5201 5775 6687 8085 8173 11025 11145 13475 15603 17325 18575 24255 24519 26005 33435 36407 40425 40865 46809 55725 57211 73557 78015 109221 121275 122595 130025 167175 171633 182035 204325 234045 286055 327663 367785 390075 400477 514899 546105 612975 858165 910175 1170225 1201431 1430275 1638315 1838925 2002385 2574495 2730525 3604293 4290825 6007155 8191575 10011925 12872475 18021465 30035775 90107325