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133554432 = 2831115809
BaseRepresentation
bin1111111010111…
…10000100000000
3100022022021020110
413331132010000
5233142220212
621130311320
73211123344
oct775360400
9308267213
10133554432
116942a470
1238888540
13218915bb
1413a47624
15bad1a3c
hex7f5e100

133554432 has 72 divisors (see below), whose sum is σ = 387787680. Its totient is φ = 40468480.

The previous prime is 133554427. The next prime is 133554457. The reversal of 133554432 is 234455331.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133554432.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 544 + ... + 16352.

It is an arithmetic number, because the mean of its divisors is an integer number (5385940).

Almost surely, 2133554432 is an apocalyptic number.

133554432 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 133554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193893840).

133554432 is an abundant number, since it is smaller than the sum of its proper divisors (254233248).

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

133554432 is a wasteful number, since it uses less digits than its factorization.

133554432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839 (or 15825 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 133554432 is about 11556.5752712471. The cubic root of 133554432 is about 511.1551823092.

The spelling of 133554432 in words is "one hundred thirty-three million, five hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 8448 15809 31618 47427 63236 94854 126472 173899 189708 252944 347798 379416 505888 521697 695596 758832 1011776 1043394 1391192 1517664 2023552 2086788 2782384 3035328 4047104 4173576 5564768 6070656 8347152 11129536 12141312 16694304 22259072 33388608 44518144 66777216 133554432