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126967901 = 6113715193
BaseRepresentation
bin1111001000101…
…10000001011101
322211220122012212
413210112001131
5230000433101
620333210205
73101131544
oct744260135
9284818185
10126967901
1165740955
1236630965
13203c6648
1412c1115b
15b2301bb
hex791605d

126967901 has 8 divisors (see below), whose sum is σ = 129999864. Its totient is φ = 123966720.

The previous prime is 126967891. The next prime is 126967921. The reversal of 126967901 is 109769621.

It can be written as a sum of positive squares in 4 ways, for example, as 25260676 + 101707225 = 5026^2 + 10085^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 126967901 - 222 = 122773597 is a prime.

It is a super-3 number, since 3×1269679013 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126967921) 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 7 ways as a sum of consecutive naturals, for example, 761 + ... + 15953.

It is an arithmetic number, because the mean of its divisors is an integer number (16249983).

Almost surely, 2126967901 is an apocalyptic number.

It is an amenable number.

126967901 is a deficient number, since it is larger than the sum of its proper divisors (3031963).

126967901 is a wasteful number, since it uses less digits than its factorization.

126967901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15391.

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 126967901 is about 11268.0034167549. The cubic root of 126967901 is about 502.6102178139.

The spelling of 126967901 in words is "one hundred twenty-six million, nine hundred sixty-seven thousand, nine hundred one".

Divisors: 1 61 137 8357 15193 926773 2081441 126967901