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693630 = 23357367
BaseRepresentation
bin10101001010101111110
31022020111000
42221111332
5134144010
622511130
75616150
oct2512576
91266430
10693630
11434153
122954a6
131b3942
14140ad0
15da7c0
hexa957e

693630 has 64 divisors (see below), whose sum is σ = 2119680. Its totient is φ = 158112.

The previous prime is 693629. The next prime is 693659. The reversal of 693630 is 36396.

It is a super-2 number, since 2×6936302 = 962245153800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 693594 and 693603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1707 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (33120).

2693630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059840).

693630 is an abundant number, since it is smaller than the sum of its proper divisors (1426050).

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

693630 is a wasteful number, since it uses less digits than its factorization.

693630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 693630 is about 832.8445233055. The cubic root of 693630 is about 88.5202481679.

It can be divided in two parts, 6 and 93630, that added together give a square (93636 = 3062).

The spelling of 693630 in words is "six hundred ninety-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 367 378 630 734 945 1101 1835 1890 2202 2569 3303 3670 5138 5505 6606 7707 9909 11010 12845 15414 16515 19818 23121 25690 33030 38535 46242 49545 69363 77070 99090 115605 138726 231210 346815 693630