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132366464 = 2719371471
BaseRepresentation
bin1111110001111…
…00000010000000
3100020001220122122
413320330002000
5232341211324
621045023412
73165045026
oct770740200
9306056578
10132366464
116879897a
12383b4b68
1321566969
1413818716
15b949a5e
hex7e3c080

132366464 has 64 divisors (see below), whose sum is σ = 285273600. Its totient is φ = 60963840.

The previous prime is 132366463. The next prime is 132366499. The reversal of 132366464 is 464663231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (132366463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89249 + ... + 90719.

It is an arithmetic number, because the mean of its divisors is an integer number (4457400).

Almost surely, 2132366464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132366464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142636800).

132366464 is an abundant number, since it is smaller than the sum of its proper divisors (152907136).

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

132366464 is a wasteful number, since it uses less digits than its factorization.

132366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1529 counting only the distinct ones).

The product of its digits is 62208, while the sum is 35.

The square root of 132366464 is about 11505.0625378570. The cubic root of 132366464 is about 509.6350894710.

The spelling of 132366464 in words is "one hundred thirty-two million, three hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 37 38 64 74 76 128 148 152 296 304 592 608 703 1184 1216 1406 1471 2368 2432 2812 2942 4736 5624 5884 11248 11768 22496 23536 27949 44992 47072 54427 55898 89984 94144 108854 111796 188288 217708 223592 435416 447184 870832 894368 1034113 1741664 1788736 2068226 3483328 3577472 4136452 6966656 8272904 16545808 33091616 66183232 132366464