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132051461 = 17531131297
BaseRepresentation
bin1111101111011…
…11001000000101
3100012110220112212
413313233020011
5232301121321
621034153205
73162263453
oct767571005
9305426485
10132051461
11685a3243
1238282805
1321486479
14137759d3
15b8d655b
hex7def205

132051461 has 16 divisors (see below), whose sum is σ = 143828784. Its totient is φ = 120766464.

The previous prime is 132051449. The next prime is 132051467. The reversal of 132051461 is 164150231.

It can be written as a sum of positive squares in 8 ways, for example, as 11600836 + 120450625 = 3406^2 + 10975^2 .

It is a cyclic number.

It is not a de Polignac number, because 132051461 - 214 = 132035077 is a prime.

It is a super-3 number, since 3×1320514613 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132051467) 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, 101165 + ... + 102461.

It is an arithmetic number, because the mean of its divisors is an integer number (8989299).

Almost surely, 2132051461 is an apocalyptic number.

It is an amenable number.

132051461 is a deficient number, since it is larger than the sum of its proper divisors (11777323).

132051461 is a wasteful number, since it uses less digits than its factorization.

132051461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 132051461 is about 11491.3646274061. The cubic root of 132051461 is about 509.2304953035.

The spelling of 132051461 in words is "one hundred thirty-two million, fifty-one thousand, four hundred sixty-one".

Divisors: 1 17 53 113 901 1297 1921 5989 22049 68741 101813 146561 1168597 2491537 7767733 132051461