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693380 = 22537937
BaseRepresentation
bin10101001010010000100
31022020010202
42221102010
5134142010
622510032
75615342
oct2512204
91266122
10693380
11433a46
12295318
131b37ac
14140992
15da6a5
hexa9484

693380 has 24 divisors (see below), whose sum is σ = 1497048. Its totient is φ = 269568.

The previous prime is 693373. The next prime is 693397. The reversal of 693380 is 83396.

It can be written as a sum of positive squares in 4 ways, for example, as 50176 + 643204 = 224^2 + 802^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272 + ... + 1208.

It is an arithmetic number, because the mean of its divisors is an integer number (62377).

2693380 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 693380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748524).

693380 is an abundant number, since it is smaller than the sum of its proper divisors (803668).

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

693380 is a wasteful number, since it uses less digits than its factorization.

693380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 693380 is about 832.6944217419. The cubic root of 693380 is about 88.5096119876.

The spelling of 693380 in words is "six hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 937 1874 3748 4685 9370 18740 34669 69338 138676 173345 346690 693380