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132263010 = 23351144533
BaseRepresentation
bin1111110001000…
…10110001100010
3100012212122202000
413320202301202
5232324404020
621042504430
73164134305
oct770426142
9305778660
10132263010
1168728180
1238365116
132152b849
14137ccb3c
15b929090
hex7e22c62

132263010 has 64 divisors (see below), whose sum is σ = 384773760. Its totient is φ = 32063040.

The previous prime is 132262987. The next prime is 132263011. The reversal of 132263010 is 10362231.

132263010 is a `hidden beast` number, since 1 + 3 + 22 + 630 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (132263011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19297 + ... + 25236.

It is an arithmetic number, because the mean of its divisors is an integer number (6012090).

Almost surely, 2132263010 is an apocalyptic number.

132263010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132263010 is an abundant number, since it is smaller than the sum of its proper divisors (252510750).

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

132263010 is a wasteful number, since it uses less digits than its factorization.

132263010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44560 (or 44554 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132263010 is about 11500.5656382632. The cubic root of 132263010 is about 509.5022825935.

The spelling of 132263010 in words is "one hundred thirty-two million, two hundred sixty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44533 89066 133599 222665 267198 400797 445330 489863 667995 801594 979726 1202391 1335990 1469589 2003985 2404782 2449315 2939178 4007970 4408767 4898630 6011955 7347945 8817534 12023910 13226301 14695890 22043835 26452602 44087670 66131505 132263010