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132650352 = 2433674583
BaseRepresentation
bin1111110100000…
…01010101110000
3100020121100002000
413322001111300
5232424302402
621055054000
73200336502
oct772012560
9306540060
10132650352
116897219a
1238511300
1321635c43
141388dd72
15b9a3c1c
hex7e81570

132650352 has 80 divisors (see below), whose sum is σ = 386522880. Its totient is φ = 43547328.

The previous prime is 132650327. The next prime is 132650359. The reversal of 132650352 is 253056231.

132650352 is a `hidden beast` number, since 1 + 3 + 2 + 650 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1326503522 = 35192231771447808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132650359) 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 15 ways as a sum of consecutive naturals, for example, 26653 + ... + 31235.

It is an arithmetic number, because the mean of its divisors is an integer number (4831536).

Almost surely, 2132650352 is an apocalyptic number.

132650352 is a gapful number since it is divisible by the number (12) 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 132650352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193261440).

132650352 is an abundant number, since it is smaller than the sum of its proper divisors (253872528).

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

132650352 is a wasteful number, since it uses less digits than its factorization.

132650352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 132650352 is about 11517.3934551182. The cubic root of 132650352 is about 509.9991695488. Note that the first 3 decimals are identical.

The spelling of 132650352 in words is "one hundred thirty-two million, six hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 108 134 144 201 216 268 402 432 536 603 804 1072 1206 1608 1809 2412 3216 3618 4583 4824 7236 9166 9648 13749 14472 18332 27498 28944 36664 41247 54996 73328 82494 109992 123741 164988 219984 247482 307061 329976 494964 614122 659952 921183 989928 1228244 1842366 1979856 2456488 2763549 3684732 4912976 5527098 7369464 8290647 11054196 14738928 16581294 22108392 33162588 44216784 66325176 132650352