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693940 = 2251317157
BaseRepresentation
bin10101001011010110100
31022020220111
42221122310
5134201230
622512404
75620102
oct2513264
91266814
10693940
11434405
12295704
131b3b20
14140c72
15da92a
hexa96b4

693940 has 48 divisors (see below), whose sum is σ = 1672272. Its totient is φ = 239616.

The previous prime is 693881. The next prime is 693943. The reversal of 693940 is 49396.

693940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 34596 + 659344 = 186^2 + 812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (693943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4342 + ... + 4498.

It is an arithmetic number, because the mean of its divisors is an integer number (34839).

2693940 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 693940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836136).

693940 is an abundant number, since it is smaller than the sum of its proper divisors (978332).

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

693940 is a wasteful number, since it uses less digits than its factorization.

693940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 693940 is about 833.0306116824. The cubic root of 693940 is about 88.5334334828.

The spelling of 693940 in words is "six hundred ninety-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 157 170 221 260 314 340 442 628 785 884 1105 1570 2041 2210 2669 3140 4082 4420 5338 8164 10205 10676 13345 20410 26690 34697 40820 53380 69394 138788 173485 346970 693940