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126327036 = 223113173019
BaseRepresentation
bin1111000011110…
…01100011111100
322210201002010010
413201321203330
5224314431121
620311343220
73062522253
oct741714374
9283632103
10126327036
1165343410
1236381b10
1320230a34
1412ac579a
15b155376
hex78798fc

126327036 has 48 divisors (see below), whose sum is σ = 322680960. Its totient is φ = 38147520.

The previous prime is 126327031. The next prime is 126327041. The reversal of 126327036 is 630723621.

It is an interprime number because it is at equal distance from previous prime (126327031) and next prime (126327041).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126326994 and 126327012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126327031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40335 + ... + 43353.

It is an arithmetic number, because the mean of its divisors is an integer number (6722520).

Almost surely, 2126327036 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 126327036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161340480).

126327036 is an abundant number, since it is smaller than the sum of its proper divisors (196353924).

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

126327036 is a wasteful number, since it uses less digits than its factorization.

126327036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 126327036 is about 11239.5300613504. The cubic root of 126327036 is about 501.7631565828.

The spelling of 126327036 in words is "one hundred twenty-six million, three hundred twenty-seven thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 317 634 951 1268 1902 3019 3487 3804 6038 6974 9057 10461 12076 13948 18114 20922 33209 36228 41844 66418 99627 132836 199254 398508 957023 1914046 2871069 3828092 5742138 10527253 11484276 21054506 31581759 42109012 63163518 126327036