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90134064 = 2432591032
BaseRepresentation
bin1010101111101…
…01011000110000
320021121021200200
411113311120300
5141033242224
612535515200
72143061346
oct527653060
9207537620
1090134064
1146973069
1226228b00
131589ac87
14bd83996
157da65c9
hex55f5630

90134064 has 90 divisors (see below), whose sum is σ = 259040340. Its totient is φ = 29248704.

The previous prime is 90134053. The next prime is 90134069. The reversal of 90134064 is 46043109.

It is not an unprimeable number, because it can be changed into a prime (90134069) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 875037 + ... + 875139.

It is an arithmetic number, because the mean of its divisors is an integer number (2878226).

Almost surely, 290134064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90134064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129520170).

90134064 is an abundant number, since it is smaller than the sum of its proper divisors (168906276).

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

90134064 is a wasteful number, since it uses less digits than its factorization.

90134064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 90134064 is about 9493.8961443656. The cubic root of 90134064 is about 448.3628809438.

The spelling of 90134064 in words is "ninety million, one hundred thirty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 103 118 144 177 206 236 309 354 412 472 531 618 708 824 927 944 1062 1236 1416 1648 1854 2124 2472 2832 3708 4248 4944 6077 7416 8496 10609 12154 14832 18231 21218 24308 31827 36462 42436 48616 54693 63654 72924 84872 95481 97232 109386 127308 145848 169744 190962 218772 254616 291696 381924 437544 509232 625931 763848 875088 1251862 1527696 1877793 2503724 3755586 5007448 5633379 7511172 10014896 11266758 15022344 22533516 30044688 45067032 90134064