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90770328 = 233311223151
BaseRepresentation
bin1010110100100…
…00101110011000
320022210121111000
411122100232120
5141214122303
613001305000
72151351345
oct532205630
9208717430
1090770328
1147268100
1226495160
1315a6176c
14c0ab7cc
157e7eda3
hex5690b98

90770328 has 192 divisors, whose sum is σ = 291110400. Its totient is φ = 26136000.

The previous prime is 90770297. The next prime is 90770341. The reversal of 90770328 is 82307709.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90770292 and 90770301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601053 + ... + 601203.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 290770328 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 90770328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145555200).

90770328 is an abundant number, since it is smaller than the sum of its proper divisors (200340072).

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

90770328 is a wasteful number, since it uses less digits than its factorization.

90770328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90770328 is about 9527.3463251842. The cubic root of 90770328 is about 449.4154186948.

The spelling of 90770328 in words is "ninety million, seven hundred seventy thousand, three hundred twenty-eight".