Search a number
-
+
126887808 = 273615417
BaseRepresentation
bin1111001000000…
…10011110000000
322211202120100110
413210002132000
5224440402213
620331351320
73100346205
oct744023600
9284676313
10126887808
1165696763
12365b2540
1320399058
1412bcdcac
15b2165c3
hex7902780

126887808 has 64 divisors (see below), whose sum is σ = 342634320. Its totient is φ = 41594880.

The previous prime is 126887807. The next prime is 126887879. The reversal of 126887808 is 808788621.

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

It is a super-2 number, since 2×1268878082 = 32201031638089728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126887801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20716 + ... + 26132.

Almost surely, 2126887808 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 126887808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171317160).

126887808 is an abundant number, since it is smaller than the sum of its proper divisors (215746512).

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

126887808 is an equidigital number, since it uses as much as digits as its factorization.

126887808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 126887808 is about 11264.4488546932. The cubic root of 126887808 is about 502.5045112340.

The spelling of 126887808 in words is "one hundred twenty-six million, eight hundred eighty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3904 5417 5856 7808 10834 11712 16251 21668 23424 32502 43336 65004 86672 130008 173344 260016 330437 346688 520032 660874 693376 991311 1040064 1321748 1982622 2080128 2643496 3965244 5286992 7930488 10573984 15860976 21147968 31721952 42295936 63443904 126887808