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90744 = 23319199
BaseRepresentation
bin10110001001111000
311121110220
4112021320
510400434
61540040
7525363
oct261170
9147426
1090744
11621a5
1244620
13323c4
14250da
151bd49
hex16278

90744 has 32 divisors (see below), whose sum is σ = 240000. Its totient is φ = 28512.

The previous prime is 90731. The next prime is 90749. The reversal of 90744 is 44709.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90749) by changing a digit.

90744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 357 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (7500).

290744 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 90744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120000).

90744 is an abundant number, since it is smaller than the sum of its proper divisors (149256).

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

90744 is a wasteful number, since it uses less digits than its factorization.

90744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 90744 is about 301.2374478713. The cubic root of 90744 is about 44.9371963403.

The spelling of 90744 in words is "ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 199 228 398 456 597 796 1194 1592 2388 3781 4776 7562 11343 15124 22686 30248 45372 90744