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126969696 = 2532762981
BaseRepresentation
bin1111001000101…
…10011101100000
322211220201200100
413210112131200
5230001012241
620333222400
73101140020
oct744263540
9284821610
10126969696
1165742237
1236631a00
13203c73c9
1412c11a80
15b2309b6
hex7916760

126969696 has 72 divisors (see below), whose sum is σ = 412658064. Its totient is φ = 36276480.

The previous prime is 126969679. The next prime is 126969697. The reversal of 126969696 is 696969621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1269696962 = 32242607404664832, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126969697) 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 11 ways as a sum of consecutive naturals, for example, 29475 + ... + 33506.

It is an arithmetic number, because the mean of its divisors is an integer number (5731362).

Almost surely, 2126969696 is an apocalyptic number.

126969696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126969696 is an abundant number, since it is smaller than the sum of its proper divisors (285688368).

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

126969696 is a wasteful number, since it uses less digits than its factorization.

126969696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63004 (or 62993 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 126969696 is about 11268.0830667865. The cubic root of 126969696 is about 502.6125863419.

The spelling of 126969696 in words is "one hundred twenty-six million, nine hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 62981 125962 188943 251924 377886 440867 503848 566829 755772 881734 1007696 1133658 1322601 1511544 1763468 2015392 2267316 2645202 3023088 3526936 3967803 4534632 5290404 6046176 7053872 7935606 9069264 10580808 14107744 15871212 18138528 21161616 31742424 42323232 63484848 126969696