Search a number
-
+
132895698 = 231317315361
BaseRepresentation
bin1111110101111…
…01001111010010
3100021001210121220
413322331033102
5233010130243
621104225510
73202411005
oct772751722
9307053556
10132895698
116901a561
123860b296
13216c0810
141391553c
15ba01783
hex7ebd3d2

132895698 has 128 divisors (see below), whose sum is σ = 323979264. Its totient is φ = 35942400.

The previous prime is 132895691. The next prime is 132895727. The reversal of 132895698 is 896598231.

It is a happy number.

It is a super-2 number, since 2×1328956982 = 35322533093814408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (933120) is a multiple of the sum of its prime divisors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 132895698.

It is not an unprimeable number, because it can be changed into a prime (132895691) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2178588 + ... + 2178648.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 2132895698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132895698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161989632).

132895698 is an abundant number, since it is smaller than the sum of its proper divisors (191083566).

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

132895698 is a wasteful number, since it uses less digits than its factorization.

132895698 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180.

The product of its digits is 933120, while the sum is 51.

The square root of 132895698 is about 11528.0396425411. The cubic root of 132895698 is about 510.3134021418.

The spelling of 132895698 in words is "one hundred thirty-two million, eight hundred ninety-five thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 53 61 62 78 93 102 106 122 159 183 186 221 318 366 403 442 527 663 689 793 806 901 1037 1054 1209 1326 1378 1581 1586 1643 1802 1891 2067 2074 2379 2418 2703 3111 3162 3233 3286 3782 4134 4758 4929 5406 5673 6222 6466 6851 9699 9858 11346 11713 13481 13702 19398 20553 21359 23426 24583 26962 27931 32147 35139 40443 41106 42029 42718 49166 54961 55862 64077 64294 70278 73749 80886 83793 84058 96441 100223 109922 126087 128154 147498 164883 167586 192882 200446 252174 300669 329766 363103 417911 601338 714493 726206 835822 1089309 1253733 1302899 1428986 1703791 2143479 2178618 2507466 2605798 3407582 3908697 4286958 5111373 7817394 10222746 22149283 44298566 66447849 132895698