[go: up one dir, main page]

Search a number
-
+
126732160 = 275712789
BaseRepresentation
bin1111000110111…
…00011110000000
322211110122211201
413203130132000
5224420412120
620324150544
73066130342
oct743343600
9284418751
10126732160
116559a825
1236538454
1320343259
1412b8d292
15b1d540a
hex78dc780

126732160 has 64 divisors (see below), whose sum is σ = 307346400. Its totient is φ = 49960960.

The previous prime is 126732131. The next prime is 126732181. The reversal of 126732160 is 61237621.

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

It is a super-2 number, since 2×1267321602 = 32122080756531200, which contains 22 as substring.

It is a congruent number.

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, 44046 + ... + 46834.

Almost surely, 2126732160 is an apocalyptic number.

126732160 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 126732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153673200).

126732160 is an abundant number, since it is smaller than the sum of its proper divisors (180614240).

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

126732160 is an equidigital number, since it uses as much as digits as its factorization.

126732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 126732160 is about 11257.5379191011. The cubic root of 126732160 is about 502.2989600315.

Adding to 126732160 its reverse (61237621), we get a palindrome (187969781).

The spelling of 126732160 in words is "one hundred twenty-six million, seven hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 284 320 355 568 640 710 1136 1420 2272 2789 2840 4544 5578 5680 9088 11156 11360 13945 22312 22720 27890 44624 45440 55780 89248 111560 178496 198019 223120 356992 396038 446240 792076 892480 990095 1584152 1784960 1980190 3168304 3960380 6336608 7920760 12673216 15841520 25346432 31683040 63366080 126732160