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695640 = 2335111731
BaseRepresentation
bin10101001110101011000
31022100020110
42221311120
5134230030
622524320
75625051
oct2516530
91270213
10695640
11435710
122966a0
131b482a
14141728
15db1b0
hexa9d58

695640 has 128 divisors (see below), whose sum is σ = 2488320. Its totient is φ = 153600.

The previous prime is 695627. The next prime is 695641. The reversal of 695640 is 46596.

695640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 695598 and 695607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22425 + ... + 22455.

It is an arithmetic number, because the mean of its divisors is an integer number (19440).

2695640 is an apocalyptic number.

695640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 695640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244160).

695640 is an abundant number, since it is smaller than the sum of its proper divisors (1792680).

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

695640 is a wasteful number, since it uses less digits than its factorization.

695640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 695640 is about 834.0503581919. The cubic root of 695640 is about 88.6056703242.

Subtracting from 695640 its sum of digits (30), we obtain a triangular number (695610 = T1179).

It can be divided in two parts, 6956 and 40, that added together give a palindrome (6996).

The spelling of 695640 in words is "six hundred ninety-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 31 33 34 40 44 51 55 60 62 66 68 85 88 93 102 110 120 124 132 136 155 165 170 186 187 204 220 248 255 264 310 330 340 341 372 374 408 440 465 510 527 561 620 660 680 682 744 748 930 935 1020 1023 1054 1122 1240 1320 1364 1496 1581 1705 1860 1870 2040 2046 2108 2244 2635 2728 2805 3162 3410 3720 3740 4092 4216 4488 5115 5270 5610 5797 6324 6820 7480 7905 8184 10230 10540 11220 11594 12648 13640 15810 17391 20460 21080 22440 23188 28985 31620 34782 40920 46376 57970 63240 69564 86955 115940 139128 173910 231880 347820 695640