Search a number
-
+
93440 = 28573
BaseRepresentation
bin10110110100000000
311202011202
4112310000
510442230
62000332
7536264
oct266400
9152152
1093440
1164226
12460a8
13336b9
14260a4
151ca45
hex16d00

93440 has 36 divisors (see below), whose sum is σ = 226884. Its totient is φ = 36864.

The previous prime is 93427. The next prime is 93463. The reversal of 93440 is 4439.

It can be written as a sum of positive squares in 2 ways, for example, as 43264 + 50176 = 208^2 + 224^2 .

It is a super-3 number, since 3×934403 = 2447483338752000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1244 + ... + 1316.

293440 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 93440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113442).

93440 is an abundant number, since it is smaller than the sum of its proper divisors (133444).

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

93440 is an equidigital number, since it uses as much as digits as its factorization.

93440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 93440 is about 305.6795707927. The cubic root of 93440 is about 45.3778877615.

Adding to 93440 its reverse (4439), we get a palindrome (97879).

The spelling of 93440 in words is "ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1168 1280 1460 2336 2920 4672 5840 9344 11680 18688 23360 46720 93440