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132992454 = 23767167283
BaseRepresentation
bin1111110110101…
…00110111000110
3100021020201100110
413323110313012
5233021224304
621110253450
73203263050
oct773246706
9307221313
10132992454
1169086221
1238657286
132172587a
141393c8d0
15ba20289
hex7ed4dc6

132992454 has 64 divisors (see below), whose sum is σ = 311463936. Its totient is φ = 37075104.

The previous prime is 132992441. The next prime is 132992459. The reversal of 132992454 is 454299231.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132992459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469797 + ... + 470079.

It is an arithmetic number, because the mean of its divisors is an integer number (4866624).

Almost surely, 2132992454 is an apocalyptic number.

132992454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132992454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155731968).

132992454 is an abundant number, since it is smaller than the sum of its proper divisors (178471482).

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

132992454 is a wasteful number, since it uses less digits than its factorization.

132992454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529.

The product of its digits is 77760, while the sum is 39.

The square root of 132992454 is about 11532.2354294386. The cubic root of 132992454 is about 510.4372183030.

It can be divided in two parts, 13299 and 2454, that added together give a triangular number (15753 = T177).

The spelling of 132992454 in words is "one hundred thirty-two million, nine hundred ninety-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 67 134 167 201 283 334 402 469 501 566 849 938 1002 1169 1407 1698 1981 2338 2814 3507 3962 5943 7014 11189 11886 18961 22378 33567 37922 47261 56883 67134 78323 94522 113766 132727 141783 156646 234969 265454 283566 330827 398181 469938 661654 796362 992481 1984962 3166487 6332974 9499461 18998922 22165409 44330818 66496227 132992454