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65695140 = 223257173067
BaseRepresentation
bin1111101010011…
…0110110100100
311120121122210100
43322212312210
5113304221030
610304024100
71425254010
oct372466644
9146548710
1065695140
11340a0805
121a002030
13107c2284
148a21540
155b7a360
hex3ea6da4

65695140 has 144 divisors (see below), whose sum is σ = 241218432. Its totient is φ = 14128128.

The previous prime is 65695139. The next prime is 65695159. The reversal of 65695140 is 4159656.

65695140 = T1920 + T1921 + ... + T1954.

65695140 is a `hidden beast` number, since 6 + 569 + 51 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 65695095 and 65695104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19887 + ... + 22953.

It is an arithmetic number, because the mean of its divisors is an integer number (1675128).

Almost surely, 265695140 is an apocalyptic number.

65695140 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 65695140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120609216).

65695140 is an abundant number, since it is smaller than the sum of its proper divisors (175523292).

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

65695140 is a wasteful number, since it uses less digits than its factorization.

65695140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 65695140 is about 8105.2538516693. The cubic root of 65695140 is about 403.5008130514.

The spelling of 65695140 in words is "sixty-five million, six hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3067 3570 4284 5355 6134 7140 9201 10710 12268 15335 18402 21420 21469 27603 30670 36804 42938 46005 52139 55206 61340 64407 85876 92010 104278 107345 110412 128814 138015 156417 184020 193221 208556 214690 257628 260695 276030 312834 322035 364973 386442 429380 469251 521390 552060 625668 644070 729946 772884 782085 938502 966105 1042780 1094919 1288140 1459892 1564170 1824865 1877004 1932210 2189838 2346255 3128340 3284757 3649730 3864420 4379676 4692510 5474595 6569514 7299460 9385020 10949190 13139028 16423785 21898380 32847570 65695140