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126877696 = 220112
BaseRepresentation
bin1111001000000…
…00000000000000
322211202001110221
413210000000000
5224440041241
620331232424
73100304551
oct744000000
9284661427
10126877696
116568a100
12365a8714
132039457a
1412bca328
15b2135d1
hex7900000

126877696 has 63 divisors (see below), whose sum is σ = 278921083. Its totient is φ = 57671680.

The previous prime is 126877693. The next prime is 126877741. The reversal of 126877696 is 696778621.

It is a happy number.

The square root of 126877696 is 11264.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (126877693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 11534331 + ... + 11534341.

Almost surely, 2126877696 is an apocalyptic number.

126877696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126877696 is the 11264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126877696

126877696 is an abundant number, since it is smaller than the sum of its proper divisors (152043387).

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

126877696 is an frugal number, since it uses more digits than its factorization.

126877696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 13 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 52.

The cubic root of 126877696 is about 502.4911622745.

The spelling of 126877696 in words is "one hundred twenty-six million, eight hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1408 1936 2048 2816 3872 4096 5632 7744 8192 11264 15488 16384 22528 30976 32768 45056 61952 65536 90112 123904 131072 180224 247808 262144 360448 495616 524288 720896 991232 1048576 1441792 1982464 2883584 3964928 5767168 7929856 11534336 15859712 31719424 63438848 126877696