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132463440 = 243251923421
BaseRepresentation
bin1111110010100…
…11101101010000
3100020020211200100
413321103231100
5232402312230
621051052400
73165630534
oct771235520
9306224610
10132463440
116885481a
1238441100
132159bb45
1413841bc4
15b968660
hex7e53b50

132463440 has 240 divisors, whose sum is σ = 489790080. Its totient is φ = 31933440.

The previous prime is 132463411. The next prime is 132463469. The reversal of 132463440 is 44364231.

132463440 is a `hidden beast` number, since 1 + 3 + 24 + 634 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132463411) and next prime (132463469).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 314430 + ... + 314850.

It is an arithmetic number, because the mean of its divisors is an integer number (2040792).

Almost surely, 2132463440 is an apocalyptic number.

132463440 is a gapful number since it is divisible by the number (10) 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 132463440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244895040).

132463440 is an abundant number, since it is smaller than the sum of its proper divisors (357326640).

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

132463440 is a wasteful number, since it uses less digits than its factorization.

132463440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 132463440 is about 11509.2762587402. The cubic root of 132463440 is about 509.7595175333.

The spelling of 132463440 in words is "one hundred thirty-two million, four hundred sixty-three thousand, four hundred forty".