Search a number
-
+
127306026 = 23331113673
BaseRepresentation
bin1111001011010…
…00100100101010
322212112211001000
413211220210222
5230042243101
620344335430
73104040411
oct745504452
9285484030
10127306026
11659519a1
1236774576
13204b4513
1412c9c478
15b29a486
hex796892a

127306026 has 64 divisors (see below), whose sum is σ = 295050240. Its totient is φ = 40642560.

The previous prime is 127306021. The next prime is 127306037. The reversal of 127306026 is 620603721.

It is a happy number.

127306026 is a `hidden beast` number, since 1 + 27 + 30 + 602 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (127306021) 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 31 ways as a sum of consecutive naturals, for example, 188826 + ... + 189498.

It is an arithmetic number, because the mean of its divisors is an integer number (4610160).

Almost surely, 2127306026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127306026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147525120).

127306026 is an abundant number, since it is smaller than the sum of its proper divisors (167744214).

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

127306026 is a wasteful number, since it uses less digits than its factorization.

127306026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 127306026 is about 11282.9972081890. The cubic root of 127306026 is about 503.0559851891.

Adding to 127306026 its reverse (620603721), we get a palindrome (747909747).

It can be divided in two parts, 127 and 306026, that added together give a triangular number (306153 = T782).

The spelling of 127306026 in words is "one hundred twenty-seven million, three hundred six thousand, twenty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 113 186 226 279 339 558 673 678 837 1017 1346 1674 2019 2034 3051 3503 4038 6057 6102 7006 10509 12114 18171 20863 21018 31527 36342 41726 62589 63054 76049 94581 125178 152098 187767 189162 228147 375534 456294 563301 684441 1126602 1368882 2053323 2357519 4106646 4715038 7072557 14145114 21217671 42435342 63653013 127306026