Search a number
-
+
132097452 = 223611131597
BaseRepresentation
bin1111101111110…
…10010110101100
3100012120020122020
413313322112230
5232304104302
621035150140
73162544524
oct767722654
9305506566
10132097452
1168624853
12382a5350
13214a1396
1413788684
15b8e4ebc
hex7dfa5ac

132097452 has 48 divisors (see below), whose sum is σ = 316250592. Its totient is φ = 42900480.

The previous prime is 132097447. The next prime is 132097457. The reversal of 132097452 is 254790231.

It is an interprime number because it is at equal distance from previous prime (132097447) and next prime (132097457).

It is not an unprimeable number, because it can be changed into a prime (132097457) 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, 81918 + ... + 83514.

It is an arithmetic number, because the mean of its divisors is an integer number (6588554).

Almost surely, 2132097452 is an apocalyptic number.

132097452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132097452 is an abundant number, since it is smaller than the sum of its proper divisors (184153140).

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

132097452 is a wasteful number, since it uses less digits than its factorization.

132097452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 132097452 is about 11493.3655645333. The cubic root of 132097452 is about 509.2896068578.

The spelling of 132097452 in words is "one hundred thirty-two million, ninety-seven thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 61 113 122 183 226 244 339 366 452 678 732 1356 1597 3194 4791 6388 6893 9582 13786 19164 20679 27572 41358 82716 97417 180461 194834 292251 360922 389668 541383 584502 721844 1082766 1169004 2165532 11008121 22016242 33024363 44032484 66048726 132097452